Solve for c 10=|-8+c|

$10 = | - 8 + c |$

Rewrite the equation as $| - 8 + c | = 10$ .

$| - 8 + c | = 10$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$- 8 + c = \pm 10$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$- 8 + c = 10$

Move all terms not containing $c$ to the right side of the equation.

Add $8$ to both sides of the equation.

$c = 10 + 8$

Add $10$ and $8$ .

$c = 18$

Next, use the negative value of the $\pm$ to find the second solution.

$- 8 + c = - 10$

Move all terms not containing $c$ to the right side of the equation.

Add $8$ to both sides of the equation.

$c = - 10 + 8$

Add $- 10$ and $8$ .

$c = - 2$

The complete solution is the result of both the positive and negative portions of the solution.

$c = 18, - 2$