Question

Solve for x:
(2x/3) + 10 = (x/5) + (36/5)

Answer 1

x = -6

Explanation:

(2x/3) + 10 = (x/5) + (36/5)

15*[(2x/3) + 10 = (x/5) + (36/5)] [Multiply both sides by 15 in order to convert the fractions to whole numbers]

(15/3)*2x +15*10 = (15/5)x + (15/5)*36

5*2x + 150 = 3x + 3*36

10x +150 = 3x + 108

7x = -42

x = -6

===

Check:

Does (2x/3) + 10 = (x/5) + (36/5) work for x = -6?

(2(-6)/3) + 10 = (-6/5) + (36/5) ?

-4 + 10 = (30/5) ?

6 = 6 YES