Answer
{$75$}
Work Step by Step
$0.2x-0.5=0.1x+7$
Subtracting $0.1x$ from both sides, $0.2x-0.1x-0.5=0.1x-0.1x+7$
$0.1x-0.5=7$
Adding $0.5$ to both sides, $0.1x-0.5+0.5=7+0.5$
$0.1x=7.5$
Multiplying both sides by $10$, $10\times0.1x=7.5\times10$
Therefore, $x=75$
Check:
$0.2(75)-0.5=0.1(75)+7$
$15-0.5=7.5+7$
$14.5=14.5$
$0=0$
Since the result checks, the solution set of the equation is {$75$}.
