# How do you solve 4x - 11= 5x - 19?

May 5, 2018

$x = 8$

#### Explanation:

In order to solve $4 x - 11 = 5 x - 19$

Begin by using the additive inverse to combine like terms on the opposite sides of the equal sign

$\cancel{4 x} - 11 \cancel{- 4 x} = 5 x - 19 - 4 x$

$- 11 = x - 19$

$- 11 + 19 = x \cancel{- 19} \cancel{+ 19}$

$8 = x$