Explain how to solve an equation with the same variable on both sides?

Answer 1

It really depends what the equation looks like. For example, if the variable is added to other expressions, you can subtract the variable on both sides. Here is an example:3x + 3 = 2x + 10

If you subtract 2x from both sides, you'll end up having the variable only on one side.

Answer 2

You try to rearrange the question so that the variable is all on the same side.

However, that may not always be possible. For example, in the following equation: x^3 = sin(x) + 2, it is not possible to bring all the x-terms to one side. In such a case, you try an iterative procedure.