How do you solve -7/9x-2=3?

Jun 14, 2017

$x = - \frac{45}{7}$

Explanation:

$\text{add 2 to both sides}$

$- \frac{7}{9} x \cancel{- 2} \cancel{+ 2} = 3 + 2$

$\Rightarrow - \frac{7}{9} x = 5$

$\text{multiply both sides by 9 to eliminate the fraction}$

$\cancel{9} \times - \frac{7}{\cancel{9}} x = 45$

$\Rightarrow - 7 x = 45$

$\text{divide both sides by - 7}$

$\frac{\cancel{- 7} x}{\cancel{- 7}} = - \frac{45}{7}$

$\Rightarrow x = - \frac{45}{7}$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

$- \frac{\cancel{7}}{9} \times - \frac{45}{\cancel{7}} - 2 = \frac{45}{9} - \frac{18}{9} = 3 = \text{ right side}$

$\Rightarrow x = - \frac{45}{7} \text{ is the solution}$