# How do you solve 7( 2x - 3) = 4( 2- x )?

Mar 13, 2018

$x = \setminus \frac{29}{18}$

#### Explanation:

1. Subtract $4 \left(2 - x\right)$ from both sides.
$7 \left(2 x - 3\right) - 4 \left(2 - x\right) = 0 \setminus \iff$
2. Perform the multiplications.
$14 x - 21 - \left(8 - 4 x\right) = 0 \setminus \iff$
$18 x - 29 = 0 \setminus \iff$
4. Add $29$ to both sides and then divide by $18$.
$x = \setminus \frac{29}{18}$