# How do you solve 16-x = 6x + 24?

Jan 14, 2016

$x = - \frac{8}{7}$

#### Explanation:

Steps insolving the algebraic equation:

1. Combine like terms
$16 - 24 = 6 x + x$
2. Simplify
$- 8 = 7 x$
3. Isolate $x$ by dividing both sides by $7$
$- \frac{8}{7} = \frac{\cancel{7} x}{\cancel{7}}$
4. The value of $x$ is
$x = - \frac{8}{7}$
5. Checking
$16 - x = 6 x + 24$, plug in the value of x
$16 - \left(- \frac{8}{7}\right) = 6 \left(- \frac{8}{7}\right) + 24$
$16 + \frac{8}{7} = - \frac{48}{7} + 24$
$16 + 1 \frac{1}{7} = - 6 \frac{6}{7} + 24$
$17 \frac{1}{7} = - 6 \frac{6}{7} + 23 \frac{7}{7}$
$17 \frac{1}{7} = 17 \frac{1}{7}$