Question

How do you solve `x-(3x)/(2)=(x+7)/(x-11)`?

Answer 1

`x-(3x)/2 = (x+7)/(x-11)`

Simplify the left side of the equation:
`-x/2 = (x+7)/(x-11)`

Multiply both sides by `(-2)(x-11)`
`x^2-11x = -2x-14`

Re-arrange terms to the left side
`x^2-9x +14 = 0`

Factor
`(x-7)(x-2)=0`

State solutions:
`x=7` or `x=2`