# How do you solve x/3-7 =6-(3x)/4?

May 28, 2015

Given $\frac{x}{3} - 7 = 6 - 3 \frac{x}{4}$

Since I'm lazy and not a big fan of working with fractions when I don't have to,
I'd start by multiplying everything by $12$ to get

$4 x - 84 = 72 - 9 x$

Moving the $x$'s to one side and the pure numerics to to the other:
$13 x = 156$

$x = 12$