How do you solve 4/3x-1/12=x+3/4?

1 Answer
Nov 28, 2016

x = 5/2 or 2.5

Explanation:

First, we take all the variable terms(terms having x) to one side and constants to the other.
4/3 x - x = 3/4 + 1/12
Then, we give the whole equation a common denominator, which can be 12 in this case.
(4xx4)/(3xx4) x - (x xx12)/(1xx12) = (3xx3)/(4xx3) + 1/12
16/12 x - 12/12x = 9/12 + 1/12
16x - 12x = 9+ 1
4x = 10
x = 10/4 = 5/2