This is a rational equation, and we will run through the steps for solving rational equations. First clear denominators. Multiply both sides by a common denominator. The smallest common denominator is 12. Multiply both sides by 12.

Remove parentheses.

Assemble the surviving factors.

4*x* - 12 = 3*x* + 6

Transpose

4*x* - 3*x* = 12 + 6

Combine

*x* = 18

Copy down the original equation

except that wherever you see an *x*, substitute the solution in parentheses.

This simplifies to

or

5 = 10/2

which checks.