# How do you solve 3(x − 1) − (x + 5) = 2 ?

Mar 18, 2016

$x = \left\{5\right\}$

#### Explanation:

Given

$3 \left(x - 1\right) - \left(x + 5\right) = 2$

Step 1: Using the distributive law to simplify the expression

$3 x - 3 - x - 5 = 2$

Step 2: Combine like terms in the left hand side to get

$2 x - 8 = 2$

Step 3: Add 8 to both side, to isolate variable

$2 x = 2 + 8$

$2 x = 10$

Step 4 : Divide both side by 2 to get

$\frac{2 x}{2} = \frac{10}{2}$

$x = 5$

3(5-1) -(5+5) ? = 2
$3 \left(4\right) - 10 = 2$
$12 - 10 = 2$
$2 = 2$