Question

Solve for x: 2 over 3 (x − 4) = 2x.
2
−2
−8
−4

Answer 1

2/3 (x - 4) = 2x --- distribute through the parenthesis
2/3x - 8/3 = 2x --- multiply everything by common denominator of 3 to get rid of fractions
2x - 8 = 6x -- subtract 2x
-8 = 4x -- divide by 4
-2 = x

check..
2/3 (-2 - 4) = 2 (-2)
2/3 (-6) = -4
-12/3 = -4
-4 = -4 (correct)

so x = -2
questions ?

Answer 2

How does 2/3(-6) became -12/3 ???