|a+5|=55

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

a+5=±55

Set up the positive portion of the ± solution.

a+5=55

Subtract 5 from both sides of the equation.

a=55-5

Subtract 5 from 55.

a=50

a=50

Set up the negative portion of the ± solution.

a+5=-55

Subtract 5 from both sides of the equation.

a=-55-5

Subtract 5 from -55.

a=-60

a=-60

The solution to the equation includes both the positive and negative portions of the solution.

a=50,-60

Solve for a |a+5|=55