# Chapter R - Algebra Reference - R.4 Equations - R.4 Exercises - Page R-16: 28

The solution is $x=12$

#### Work Step by Step

$\dfrac{x}{3}-7=6-\dfrac{3x}{4}$ Multiply the whole equation by $12$: $12\Big(\dfrac{x}{3}-7=6-\dfrac{3x}{4}\Big)$ $4x-84=72-9x$ Take $9x$ to the left side and $84$ to the right side: $4x+9x=72+84$ $13x=156$ Take $13$ to divide the right side: $x=\dfrac{156}{13}$ $x=12$

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