# How do you solve 2x + 9- 7x = - 71?

Jun 11, 2017

$x = 16$

#### Explanation:

What you want to do first is combine like terms:

$\textcolor{g r e e n}{2 x} + 9 - \textcolor{g r e e n}{7 x} = - 71$

$\textcolor{g r e e n}{2 x} - \textcolor{g r e e n}{7 x} + 9 = - 71$

$- 5 x + 9 = - 71$

Then subtract nine from both sides:

$- 5 x + \cancel{9} - \cancel{9} = - 71 - 9$

$- 5 x = - 80$

Then divide by $- 5$ on both sides:

$\frac{\cancel{- 5 x}}{\cancel{- 5}} = \frac{- 80}{-} 5$

$x = 16$