How do you solve #\frac { 1} { 5} x + \frac { 5} { 3} = \frac { - 5} { 2} + 4x#?

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Answer 1 · 2017-05-14T23:04:09

Get all variables on one side and the other values on the other side of the equal sign.

#1/5x -4x = -5/2 -5/3#

Then eliminate the denominator by multiplying by least common multiple:

#30 * (1/5x -4x = -5/2 -5/3)#

Then you will have whole numbers:

#6x - 120x = -75 - 50#

Simplify:

#-114x = -125#

Solve:

#x= 125/114# or #1.0965#