Question

How do you solve `-\frac { 3} { 5} + \frac { 7} { 2} x = - \frac { 5} { 6}`?

Answer 1

`x = 1/15`

Explanation:

If you have an equation with fractions, you can rid of the fractions immediately by multiplying each term in the equation by the LCM of the denominators. In this case it is `30`

`-(color(blue)(cancel30^6xx)3)/cancel5 +(color(blue)(cancel30^15xx)7)/cancel2x=-(color(blue)(cancel30^5xx)5)/cancel6`

`18+105x=25" "larr` isolate the `x` term

`105x = 25-18`

`105x = 7`

`x = 7/105`

`x = 1/15`