|d-4|+3=17

Subtract 3 from both sides of the equation.

|d-4|=17-3

Subtract 3 from 17.

|d-4|=14

|d-4|=14

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

d-4=±14

Set up the positive portion of the ± solution.

d-4=14

Add 4 to both sides of the equation.

d=14+4

Add 14 and 4.

d=18

d=18

Set up the negative portion of the ± solution.

d-4=-14

Add 4 to both sides of the equation.

d=-14+4

Add -14 and 4.

d=-10

d=-10

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

d=18,-10

Solve for d |d-4|+3=17