Question

Solve for x: −5|x + 1| = 10

Answer 1

keep in mind that |x+1| really means
+1(x+1) AND -1(x+1)

so you'd end up with 2 values for "x", one from each of the equations

Answer 2

\(\bf −5|x + 1| = 10 \implies -5\left[1(x+1)\right] = 10\\
\textit{and the equation of } -5\left[-1(x+1)\right] = 10\)