Answer
$x=\frac{25}{14}$
Work Step by Step
We are given that $\frac{x}{2}+\frac{x}{5}=\frac{5}{4}$. First, we can multiply each term by 20. Since this is the least common denominator of each term, this will eliminate all fractions from the equation.
$\frac{x}{2}\times20+\frac{x}{5}\times20=\frac{5}{4}\times20$
$10x+4x=25$
Group like terms on the left side.
$14x=25$
Divide both sides by 14.
$x=\frac{25}{14}$
