## Calculus with Applications (10th Edition)

The solution is $x=12$
$\dfrac{x}{3}-7=6-\dfrac{3x}{4}$ 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: $x=\dfrac{156}{13}$ $x=12$