Question

2/5x - 1/2 = 1/3 + 5/6x

Answer 1

`x = (25)/(13)`

Explanation:

Given:

`(2)/(5) x - (1)/(2) = (1)/(3) + (5)/(6) x`

Combine like terms:

`(2)/(5) x - (5)/(6) x = (1)/(3) + (1)/(2)`

Find GCF :

`(12)/(30) x - (25)/(30) = (2)/(6) + (3)/(6)`

Subtraction and Addition :

`(13)/(30) x = (5)/(6)`

Divide both sides by 13/30 :

`( (13)/(30) )/( (13)/(30) ) x = ( (5)/(6) )/( (13)/(30) )`

Simplify :

Multiplication (Reciprocal) :

`x = (5)/(6) * (30)/(13)`

`x = (150)/(78)`

`x = (25)/(13)`

Answer :

`x = (25)/(13)`

Hope it helps