|5h+3|=2

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

5h+3=±2

Set up the positive portion of the ± solution.

5h+3=2

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

Subtract 3 from both sides of the equation.

5h=2-3

Subtract 3 from 2.

5h=-1

5h=-1

Divide each term by 5 and simplify.

Divide each term in 5h=-1 by 5.

5h5=-15

Cancel the common factor of 5.

Cancel the common factor.

5h5=-15

Divide h by 1.

h=-15

h=-15

Move the negative in front of the fraction.

h=-15

h=-15

h=-15

Set up the negative portion of the ± solution.

5h+3=-2

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

Subtract 3 from both sides of the equation.

5h=-2-3

Subtract 3 from -2.

5h=-5

5h=-5

Divide each term by 5 and simplify.

Divide each term in 5h=-5 by 5.

5h5=-55

Cancel the common factor of 5.

Cancel the common factor.

5h5=-55

Divide h by 1.

h=-55

h=-55

Divide -5 by 5.

h=-1

h=-1

h=-1

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

h=-15,-1

The result can be shown in multiple forms.

Exact Form:

h=-15,-1

Decimal Form:

h=-0.2,-1

Solve for h |5h+3|=2