# How do you solve 4(x − 1) − (x + 2) = 12?

Jan 13, 2016

$x = 6$

#### Explanation:

$4 \left(x - 1\right) - \left(x + 2\right) = 12$

$4 \times \left(x\right) + 4 \times \left(- 1\right) - x - 2 = 12$

$4 x - 4 - x - 2 = 12$

$4 x - x - 2 - 4 = 12$

$3 x - 6 = 12$

$3 x = 12 + 6$

$3 x = 18$

$x = \frac{18}{3}$

$x = 6$

Aug 6, 2018

$x = 6$

#### Explanation:

We can distribute the $4$ and the negative sign to their respective terms. We now have the equation

$4 x - 4 - x - 2 = 12$

We can combine our variables and constants respectively to get

$3 x - 6 = 12$

Next, add $6$ to both sides to get

$3 x = 18$

Lastly, to completely isolate $x$, we divide both sides by $3$ to get

$x = 6$

Hope this helps!