How do you solve 2.2x-6/4=-7?

Mar 25, 2015

Starting with
$2.2 x - \frac{6}{4} = - 7$

Multiply both sides by $4$ to get rid to the fraction
$8.8 x - 6 = - 28$

Add $6$ to both sides
$8.8 x = - 22$

Divide both sides by $8.8$
$x = - \frac{22}{8.8} = - 2.5$

Mar 25, 2015

The answer is: $x = - \frac{5}{2}$.

$\frac{22}{10} x = - 7 + \frac{3}{2} \Rightarrow \frac{11}{5} x = \frac{- 14 + 3}{2} \Rightarrow$

$x = \frac{5}{11} \cdot \left(- \frac{11}{2}\right) \Rightarrow x = - \frac{5}{2}$.