2. Solve for x and check.
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.
Assemble the surviving factors.
4x - 12 = 3x + 6
4x - 3x = 12 + 6
x = 18
Copy down the original equation
except that wherever you see an x, substitute the solution in parentheses.
This simplifies to
5 = 10/2
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