solve linear equations where the variable is on both sides

Sure, here's a step-by-step guide on how to solve linear equations where the variable is on both sides:

1. Write down the equation. For example, let's take the equation 2x + 3 = 3x - 2.

2. The goal is to get all terms with the variable on one side of the equation and all the constants on the other side. To do this, you can subtract 2x from both sides of the equation to get rid of 2x on the left side. This gives you 3 = 3x - 2 - 2x.

3. Simplify the equation. The right side of the equation simplifies to 3 = x - 2.

4. Now, to isolate x, you can add 2 to both sides of the equation. This gives you 5 = x.

5. So, the solution to the equation 2x + 3 = 3x - 2 is x = 5.

Remember, the key to solving these types of equations is to always perform the same operation on both sides of the equation to maintain equality.