Hard Multi-Step Equations Worksheet Algebra

Are you a student or teacher searching for a comprehensive and challenging worksheet specifically tailored for mastering hard multi-step equations in algebra? With our hard multi-step equations worksheet, you'll find an array of carefully constructed problems designed to test your understanding and skills in solving complex equations. Whether you're looking to strengthen your grasp on the subject or provide your students with targeted practice, this worksheet is the ideal resource.

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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  5th Grade Math Word Problems Worksheets

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Solve the equation: 3x + 7 = 22.

To solve the equation 3x + 7 = 22, we first subtract 7 from both sides to isolate the variable: 3x = 15. Then, divide by 3 on both sides to find the value of x: x = 5. Therefore, the solution to the equation is x = 5.

Solve the equation: 2(5x - 3) = 4x + 10.

To solve the equation 2(5x - 3) = 4x + 10, first distribute the 2 on the left side which gives 10x - 6 = 4x + 10. Then, isolate x by moving all the x terms to one side and the constants to the other side: 10x - 4x = 10 + 6, which simplifies to 6x = 16. Lastly, divide by 6 on both sides to find that x = 16/6 = 8/3. Hence, the solution to the equation is x = 8/3.

Solve the equation: 2(x + 4) - 3(x - 2) = 8.

To solve the equation 2(x + 4) - 3(x - 2) = 8, first distribute the coefficients: 2x + 8 - 3x + 6 = 8. Then combine like terms: -x + 14 = 8. Next, isolate the variable by subtracting 14 from both sides: -x = -6. Finally, solve for x by multiplying both sides by -1: x = 6. The solution to the equation is x = 6.

Solve the equation: 3(x - 5) + 2x = 20 - x.

To solve the equation 3(x - 5) + 2x = 20 - x, first distribute the 3 on the left side to get 3x - 15 + 2x = 20 - x. Combine like terms to simplify the equation to 5x - 15 = 20 - x. Add x to both sides to get 6x - 15 = 20. Add 15 to both sides to have 6x = 35. Finally, divide by 6 to solve for x, which gives x = 35/6 or x = 5.83.

Solve the equation: 5(2x - 1) + 3x = 4(3x + 2) - 6.

To solve the equation 5(2x - 1) + 3x = 4(3x + 2) - 6, we first distribute the terms inside the parentheses. This gives us 10x - 5 + 3x = 12x + 8 - 6. Simplifying both sides further, we get 13x - 5 = 12x + 2. By isolating x on one side, we subtract 12x from both sides to get x - 5 = 2. Finally, adding 5 to both sides gives us the solution x = 7.

Solve the equation: 2(3x + 1) - 4(2x - 5) = 3(2 + x).

Solving the equation: 2(3x + 1) - 4(2x - 5) = 3(2 + x), we first distribute the numbers: 6x + 2 - 8x + 20 = 6 + 3x. Combining like terms gives: -2x + 22 = 6 + 3x. Next, we rearrange the terms: -2x - 3x = 6 - 22, simplifying further: -5x = -16. Finally, we solve for x as: x = (-16) / (-5), hence x = 16/5 or 3.2.

Solve the equation: 4(x + 3) - 2(2x - 5) = 3(2x + 1).

To solve the equation 4(x + 3) - 2(2x - 5) = 3(2x + 1), first distribute the terms: 4x + 12 - 4x + 10 = 6x + 3. When simplified, 12 + 10 = 6x + 3, which gives 22 = 6x + 3. Subtracting 3 from both sides gives 19 = 6x. Dividing by 6 gives x = 3.16. Hence, the solution to the equation is x = 3.16.

Solve the equation: 6(2x - 3) + 5 = 7(3x - 2).

To solve the equation 6(2x - 3) + 5 = 7(3x - 2), first distribute the 6 and 7: 12x - 18 + 5 = 21x - 14. Next, simplify both sides by combining like terms: 12x - 13 = 21x - 14. Now, move the x terms to one side by subtracting 12x from both sides: -13 = 9x - 14. Then, add 14 to both sides to isolate the x term: 1 = 9x. Finally, divide by 9 to solve for x: x = 1/9.

Solve the equation: 5(x - 4) - 3(2x + 1) = 4x - 7.

To solve the equation 5(x - 4) - 3(2x + 1) = 4x - 7, first distribute the terms to simplify. This gives us 5x - 20 - 6x - 3 = 4x - 7. Combining like terms results in -x - 23 = 4x - 7. Move 4x to the left side by adding x to both sides, which gives us -23 = 5x - 7. Then, move 7 to the left side by adding 7 to both sides, which gives us -16 = 5x. Finally, divide by 5 on both sides to solve for x, making x = -16/5 or -3.2.

Solve the equation: 7(3x - 2) - 4(2x + 5) = 6(2 - x).

To solve the equation 7(3x - 2) - 4(2x + 5) = 6(2 - x), first distribute to simplify: 21x - 14 - 8x - 20 = 12 - 6x. Combine like terms to get 13x - 34 = 12 - 6x. Add 6x to both sides to get 19x - 34 = 12. Finally, add 34 to both sides to isolate x, giving x = 46/19 or approximately 2.42.