Question

Question #89fa4

Answer 1

Get rid of the fractions! Then solve.
`x = -8 6/9 = -8 2/3`

Explanation:

If you have an equation which has ONE fraction on each side of the = sign, then you can get rid of the fractions by cross-multiplying.

`color(red)((7x -1))/color(blue)(5) = color(blue)((3(5+2x))/color(red)(3)`

You can multiply with either red or blue first. I have chosen to multiply the blue first, you will see why in the working. *

`color(blue)(5xx3(5+2x)) = color(red)(3(7x-1))" "larr` no fractions !

`75 +30x = 21x-3" "larr` bigger x on the left was predictable*

`30x-21x = -3-75`

`9x = -78`

`x = -78/9`

`x = -8 6/9 = -8 2/3`