# How do you solve abs(6-2x)=24?

Mar 2, 2017

$x = 27$, $x = 21$

#### Explanation:

Absolute value rule
$\setminus \left\mid a + b \right\mid = x$ means that $a + b = \setminus \pm x$; or:
$a + b = x$ and $a + b = - x$

• Applying this to your equation $\setminus \left\mid 6 - 2 x \right\mid = 24$...
$6 - 2 x = \setminus \pm 24$
• Isolating the variable $- 2 x = - 6 \setminus \pm 24$
$\setminus \Rightarrow x = \frac{- 6 \setminus \pm 24}{-} 2 \setminus \Rightarrow 3 \setminus \pm 24$
• Now splitting up $3 + 24 = 27$ and $3 - 24 = 21$

Therefore, $x = 27$ and $x = 21$

Confused? Here is a video on absolute values...