## Precalculus (6th Edition)

$75$
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 $75$.