# How do you solve the equation 4-absx=2x+1?

Jun 3, 2018

$x = 1$

#### Explanation:

If $x \ge 0$ then we have
$4 - x = 2 x + 1$
so we get
$x = 1$
If $x < 0$ then we have
$4 + x = 2 x + 1$
so
$x = 3$
This is impossible, since we have assumed that $x < 0$