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

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Answer 1 · 2017-10-03T10:05:10

#x = -49/17#

#(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#