Question 70487
(2x – 5)/3 – 3/2 = (x + 4)/5

First, we group the ones that have an x together.
Move (x + 4)/5 to the left, so we have:
(2x – 5)/3 – 3/2 - (x + 4)/5 = 0

Second, since - 3/2 does not have an x, we move it to the right.
(2x – 5)/3 – (x + 4)/5 = 3/2

Third, find the common denominator.
The common denominator for 3, 2, and 5 is 30.
(10 * (2x – 5)/(3 * 10)) – (6 * (x + 4)/(5 * 6)) = (15 * 3/(2 * 15))

Fourth, simplify the whole equation.
(20x - 50)/30 - (6x + 24)/30 = 45/30

Fifth, since all of them have the same common denominator, we can eliminate it from the equation.
(20x - 50) - (6x + 24) = 45

Sixth, we can simplify the equation.
20x - 50 - 6x - 24 = 45
14x - 74 = 45

Sixth, move - 74 to the right.
14x = 45 + 74
14x = 119

Seventh, divide both sides by 14.
14x/14 = 119/14
x = 8 1/2