# How do you solve 2/3 (2x - 4) = 1/2 (3x - 2)?

Feb 9, 2016

x = -10

#### Explanation:

Probably 'best' to eliminate fractions. This is done by multiplying both sides by the lowest common multiple.

for these fractions this is 6

$6 \times \frac{2}{3} \left(2 x - 4\right) = 6 \times \frac{1}{2} \left(3 x - 2\right)$

now $6 \times \frac{2}{3} = 4 \textcolor{b l a c k}{\text{ and }} 6 \times \frac{1}{2} = 3$

equation is now : 4(2x - 4 ) = 3(3x - 2 )

distribute to obtain : 8x - 16 = 9x - 6

solving : x = - 10