# Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 38

$x=-8/3$

#### Work Step by Step

We start by creating a common denominator for all of the fractions: $\frac{4x}{12}-\frac{7x}{12}=\frac{8}{12}$ We now can combine the denominators on the same side of the equation: -$\frac{3x}{12}=\frac{8}{12}$ We then multiply both sides by 12 to find: $-3x=8$ We divide by -3 to obtain that $x=-8/3.$ We plug -8/3 in for x and confirm that our answer is, indeed, correct.

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