# How do you solve |x - 5| = 10?

Nov 5, 2014

$| x - 5 | = 10$

by removing the absolute value sign,

$\implies \left\{\begin{matrix}x - 5 = - 10 \\ x - 5 = 10\end{matrix}\right.$

$\implies \left\{\begin{matrix}x = - 5 \\ x = 15\end{matrix}\right.$
Hence, the solutions are $x = - 5 , 15$.