How do you solve #\frac { 2x } { 5} + \frac { 7} { 10} = - \frac { 1} { 2}#?

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Answer 1 · 2016-11-19T14:31:33

#x = -3#

First to make it easier to work with, get each fraction over a common denominator, in this case #10#:

#(2/2)((2x)/5) + 7/10 = (-1)/2*(5/5)#

#(4x)/10 + 7/10 = -5/10#

Next perform the necessary mathematics to isolate and solve for #x#:

#(4x)/10 + 7/10 - 7/10= -5/10 - 7/10#

#(4x)/10 = -12/10#

#(10/4)(4x)/10 = -12/10(10/4)#

#1x = -12/4#

#x = -3#