Question

How do you solve `1/4x-5/2=-2`?

Answer 1

Take `4` as common denominator (adapting the numerators to the new one) so you get:
`(x-5*2)/(4)=(-2*4)/(4)`
now you can cancel the denominators and get:
`(x-5*2)/cancel(4)=(-2*4)/cancel(4)`
`x-10=-8`
`x=10-8`
`x=2`

You can check this result substituting it back into your original equation. :-)