Answer
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:
$x=\dfrac{156}{13}$
$x=12$
