Question

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

Answer 1

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`