## Intermediate Algebra (6th Edition)

$x=72$
$\frac{x}{2}-\frac{x}{3}=12$ Find the least common multiple of the denominators of $\frac{x}{2}$ and $\frac{x}{3}$. The easiest way to do this is to multiply the denominators (2 and 3) together to get 6. Then, to "undo" the fractions in the equation, multiply each term by 6. $6(\frac{x}{2})-6(\frac{x}{3})=6(12)$ This is equal to $\frac{6x}{2}-\frac{6x}{3}=72$, which, when simplified, is $3x-2x=72$. Since $3x-2x=x$, $x=72$.