Question

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

Answer 1

`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`