Question

How do you solve `(2x-7)/(x+1) = (2x)/(x+4)`?

Answer 1

`color(green)(x=-28)`

Explanation:

Given
`color(white)("XXX")(2x-7)/(x+1)=(2x)/(x+4)`

Multiply both sides by `(x+1)(x+4)` (sometimes called cross multiplying)
to get rid of the fractions
`color(white)("XXX")(2x-7) * (x+4)=(2x) * (x+1)`

`color(white)("XXX")cancel(2x^2)-7x+8x-28=cancel(2x^2)+2x`

`color(white)("XXX")x-28=2x`

`color(white)("XXX")-28=x`