How do you solve 1/2x - 37 = -84?

Jan 15, 2017

$x = - 94$.

Explanation:

Add $37$ to both sides of the equation:

$\frac{1}{2} x \cancel{- 37} \cancel{+ 37} = - 84 + 37$

$\frac{1}{2} x = - 47$

Multiply both sides by $2$:

$\frac{1}{\cancel{2}} x \cdot \cancel{2} = \left(- 47\right) \cdot 2$

$x = - 94$.