How do you solve abs[5-2x] = 41?

Jul 1, 2016

$x \setminus \in \setminus \left\{- 18 , 23 \setminus\right\}$.

Explanation:

$\left\mid 5 - 2 x \right\mid = 41 \setminus \iff 5 - 2 x = 41 \mathmr{and} 5 - 2 x = - 41$.

In the first case : $- 2 x = 36 \setminus \iff x = - 18$.

In the second case : $- 2 x = - 46 \setminus \iff x = 23$.