Mathematic Problems
358. példa

Solve the following equation on the set of real numbers!

$7-2\left(x+5\right)=\frac{x+6}{4}+\frac{x+2}{2}$

$7-2\left(x+5\right)=\frac{x+6}{4}+\frac{x+2}{2}$
$7{-}{2}\left(x+5\right)=\frac{\left(x+6\right)+{2}\left(x+2\right)}{4}$
$7{-}{2}{x}{-}{10}=\frac{x+6{+}{2}{x}{+}{4}}{4}$
$-2x-3=\frac{3x+10}{4}$
$-8x-12=3x+10$
$-8x-3x=10+12$
$-11x=22$
$x=\frac{22}{-11}$
$x=-2$
$x=-2$