# How do you solve 3x + 11= 19- x?

Apr 23, 2018

$x = 2$

#### Explanation:

Get the $x ' s$ to one side:

$3 x + 11 + x = 19 - \cancel{x} + \cancel{x}$

Collect like terms:

$4 x + 11 = 19$

Get $x$ on its own:

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

$\to 4 x = 8$

Divide to solve for $x$

$x = \frac{8}{4} \to 2$

$x = 2$

Always put in this value to check:

$\left(3 \times 2\right) + 11 = 19 - 2$

$6 + 11 = 17$

$17 = 17$ which is correct.