# Pre-Algebra Practice Questions: Isolating x in an Equation

You can solve algebraic equations by isolating *x*—that is, by getting *x* alone on one side of the equation and everything else on the other side. For most basic equations, isolating *x* involves a few steps, as you’ll see in the following practice questions.

## Practice questions

- Find the value of
*x*in the equation 9*x*– 2 = 6*x*+ 7. - Find the value of
*x*in 4*x*– 17 =*x*+ 22.

## Answers and explanations

*x*= 3First, add or subtract the same number from each side to get all constants (non-

*x*terms) on one side of the equation. In this example, you want to get all constants on the right side of the equation, so you add 2 to both sides:Second, you add or subtract to get all

*x*terms on the other side of the equation. Here, you want to get all*x*terms on the left side, so you subtract 6*x*from both sides:Third, you divide by 3 to isolate

*x*:*x*= 13Start by adding or subtracting the same number from each side to get all constants (non-

*x*terms) on one side of the equation. Here, you add 17 to both sides to get all constants on the right side of the equation:The second step is to add or subtract to get all

*x*terms on the other side of the equation. In this example, you need to subtract*x*from both sides to get all*x*terms on the left side:The third step is to divide (in this case, by 3) to isolate

*x*: