How do you solve \frac { x + 2} { 3} - \frac { 2x - 1} { 5} = \frac { x + 5} { 2}?

1 Answer
Oct 3, 2017

x = -49/17

Explanation:

(x+2)/3−(2x−1)/5 = (x+5)/2

(5(x+2)−3(2x−1))/(3*5) = (x+5)/2

(5x+10−6x+3)/15 = (x+5)/2

(-x+13)/15 = (x+5)/2

2 * (-x+13) = 15 * (x+5)

-2x + 26 = 15x + 75

26 - 75 = 15x + 2x

-49 = 17x

x = -49/17