## Intermediate Algebra (6th Edition)

$x=7$
$\frac{x}{7}+\frac{x}{5}=\frac{12}{5}$ The common denominator of these three fractions is $35$, so multiply the entire equation by $35$. $(35)(\frac{x}{7})+(35)(\frac{x}{5})=(35)(\frac{12}{5})$ Simplify $5x+7x=84$ Combine like terms $12x=84$ Divide by $12$ $x=7$