Question

How do you solve `2+ \frac { 10} { x } = \frac { 3} { 4}`?

Answer 1

`x=-8`

Explanation:

Given
`color(white)("XXX")2+10/x=3/4`
(and assuming `x!=0`)

Multiply everything on both sides by `4x` to get rid of the fractions:
`color(white)("XXX")8x+40=3x`

`3x` from both sides
`color(white)("XXX")5x+40=0`

Subtract `40` from both sides
`color(white)("XXX")5x=-40`

Divide both sides by `5`
`color(white)("XXX")x=-8`