Solving equations with unknown in both sides

Given, 8x - 8 = 2x + 10

Solution: To solve this kind of problem, the first step is to always collect the like terms together i.e. Take the terms with x to one side of the equal sign and the numbers to the other side.

Recall: When terms cross the equal sign, their sign (+ or -) changes.

8x - 8 = 2x + 10

8x - 2x = 10 + 8

6x = 18

Now divide both sides by 6

6x/6 = 18/6

x = 3.

So always remember, collect like terms, simplify and then solve for the unknown.