# How do you solve |2x - 1| = 3?

Jul 11, 2016

$x = 2 \mathmr{and} x = - 1$

#### Explanation:

We split the equation into two possible cases:

$2 x - 1 = 3 \mathmr{and} 2 x - 1 = - 3$

Solving:

$2 x = 4 \implies x = 2$

$2 x = - 2 \implies x = - 1$