#### Answer

$75$

#### Work Step by Step

Multiply 10 to both sides of the equation to obtain:
$10(0.2x-0.5)=10(0.1x+7)$
Distribute $10$ to obtain:
$10(0.2x)-10(0.5) = 10(0.1x)+10(7)
\\2x-5=x+70$
Subtract $x$ and add $5$ to both sides of the equation, then combine like terms to obtain:
$2x-5-x+5=x+70-x+5
\\x=75$
Thus, the solution tot he given equation is $75$.