Question

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

Answer 1

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 xx 2/3(2x - 4 ) = 6 xx 1/2(3x-2)`

now `6 xx 2/3 = 4color(black)(" and " ) 6 xx 1/2 = 3`

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

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

solving : x = - 10