# How do you solve 6( - 3x + 1) - 5x = 7( x - 1) - 7?

Mar 22, 2018

You need to expand the brackets and then collect the like terms, after that it is easy to find $x$.

#### Explanation:

$6 \left(- 3 x + 1\right) - 5 x = 7 \left(x - 1\right) - 7$

$\to - 18 x + 6 - 5 x = 7 x - 7 - 7$

$\to - 23 x + 6 = 7 x - 14$

$\to - 30 x = - 20$

$\to x = \frac{- 20}{-} 30$

$\to x = \frac{2}{3}$