Question

Solve for x -5|x+1|=10

Answer 1

First add -5 from both sides. Then subtract 1 from both sides.

Answer 2

\[
x -5|x+1|=10 \\
5|x+1 |= x-10\\
|x+1 |=\frac 1 5 ( x-10)\\
x+1=\pm \frac 1 5 ( x-10)\\


\]

Answer 3

You get
\[
x=-\frac {15}4\\
x= \frac 5 6

\]

Answer 4

An easier way is to solve \[ x-5(x+1)=10 \\ and\\ x+5(x+1)=10\]