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

Take $4$ as common denominator (adapting the numerators to the new one) so you get:
$\frac{x - 5 \cdot 2}{4} = \frac{- 2 \cdot 4}{4}$
$\frac{x - 5 \cdot 2}{\cancel{4}} = \frac{- 2 \cdot 4}{\cancel{4}}$
$x - 10 = - 8$
$x = 10 - 8$
$x = 2$