# How do you solve abs(x-1.8)=3.2?

Nov 15, 2017

See a solution process below:

#### Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution 1:

$x - 1.8 = - 3.2$

$x - 1.8 + \textcolor{red}{1.8} = - 3.2 + \textcolor{red}{1.8}$

$x - 0 = - 1.4$

$x = - 1.4$

Solution 2:

$x - 1.8 = 3.2$

$x - 1.8 + \textcolor{red}{1.8} = 3.2 + \textcolor{red}{1.8}$

$x - 0 = 5.0$

$x = 5.0$

The Solutions Are: $x = \left\{- 1.4 , 5.0\right\}$