Algebra Worksheets Solving for X

Algebra worksheets are essential tools for individuals who are learning how to solve for the variable X. These worksheets provide a structured approach to mastering the concept of finding the unknown value in an equation. By practicing a variety of problems, both beginner and intermediate learners can gain confidence and proficiency in solving for X.

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What is the value of x when 3x + 5 = 17?

The value of x is 4 when solving the equation 3x + 5 = 17. This can be found by first subtracting 5 from both sides to get 3x = 12, and then dividing both sides by 3 to find that x = 4.

Solve for x: 2(x + 4) = 10.

To solve for x, we first need to distribute the 2 to both terms inside the parentheses: 2*x + 2*4 = 10. This simplifies to 2x + 8 = 10. Next, we isolate x by subtracting 8 from both sides: 2x + 8 - 8 = 10 - 8, resulting in 2x = 2. Finally, divide by 2 on both sides to solve for x, giving x = 1.

Find the value of x: 5x - 8 = 22.

To find the value of x, you would first add 8 to both sides of the equation to isolate the variable x. So, 5x - 8 + 8 = 22 + 8, which simplifies to 5x = 30. Then, divide both sides by 5 to solve for x. Therefore, x = 6.

Determine the solution of 2x - 7 = -3.

The solution to the equation 2x - 7 = -3 is x = 2. By adding 7 to both sides of the equation and then dividing by 2, we find that x is equal to 2, satisfying the equation.

Solve for x: 4(x - 2) = 20.

To solve for x in the equation 4(x - 2) = 20, first distribute the 4 to the terms inside the parentheses to get 4x - 8 = 20. Then, add 8 to both sides to isolate the variable x, resulting in 4x = 28. Finally, divide by 4 on both sides to find that x = 7.

What is the value of x when 2(x + 3) - 5 = 11?

To find the value of x, we first need to simplify the equation. We can start by distributing the 2 to the terms inside the parentheses: 2x + 6 - 5 = 11. Combining like terms gives us 2x + 1 = 11. Next, we subtract 1 from both sides to isolate the x variable, which results in 2x = 10. Finally, dividing by 2 on both sides yields x = 5. Therefore, the value of x when 2(x + 3) - 5 = 11 is 5.

Find the solution to 3x + 2 = 8 - x.

By solving the equation 3x + 2 = 8 - x, we can simplify it to 4x + 2 = 8. Next, subtracting 2 from both sides gives us 4x = 6. Finally, dividing by 4 on both sides yields x = 1.5. Thus, the solution to the equation 3x + 2 = 8 - x is x = 1.5.

Solve for x: 5(x + 6) - 3(x - 2) = 19.

To solve for x, you would first distribute the numbers, giving you 5x + 30 - 3x + 6 = 19. Combining like terms, you get 2x + 36 = 19. Then, you would subtract 36 from both sides, giving you 2x = -17. Finally, divide by 2 to solve for x, and you get x = -8.5.

Determine the value of x in the equation 2(3x - 4) = 18.

To determine the value of x in the equation 2(3x - 4) = 18, first distribute the 2: 6x - 8 = 18. Next, add 8 to both sides: 6x = 26. Finally, divide both sides by 6: x = 26 / 6 = 4.33. Thus, the value of x is 4.33.

Find the solution to 7x - 9 = 4x + 8.

To find the solution, you would first simplify the equation by moving all x terms to one side. Subtracting 4x from both sides gives 3x - 9 = 8. Next, add 9 to both sides to isolate the x term, resulting in 3x = 17. Finally, divide both sides by 3 to solve for x, giving x = 17/3 or approximately 5.67.