Answer
$x=-8$
Work Step by Step
"Difference" indicates subtration.
"Of" indicates multiplication.
$\frac{2}{5}x - 8=\frac{7}{5}x \longrightarrow$ Translate the sentence into an equation.
$\frac{2}{5}x - 8 - \frac{2}{5}x=\frac{7}{5}x-\frac{2}{5}x \longrightarrow$ Subtract $\frac{2}{5}x$ from both sides
$-8=x\longrightarrow$ simplify