|5v+15|=5

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

5v+15=±5

Set up the positive portion of the ± solution.

5v+15=5

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

Subtract 15 from both sides of the equation.

5v=5-15

Subtract 15 from 5.

5v=-10

5v=-10

Divide each term by 5 and simplify.

Divide each term in 5v=-10 by 5.

5v5=-105

Cancel the common factor of 5.

Cancel the common factor.

5v5=-105

Divide v by 1.

v=-105

v=-105

Divide -10 by 5.

v=-2

v=-2

v=-2

Set up the negative portion of the ± solution.

5v+15=-5

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

Subtract 15 from both sides of the equation.

5v=-5-15

Subtract 15 from -5.

5v=-20

5v=-20

Divide each term by 5 and simplify.

Divide each term in 5v=-20 by 5.

5v5=-205

Cancel the common factor of 5.

Cancel the common factor.

5v5=-205

Divide v by 1.

v=-205

v=-205

Divide -20 by 5.

v=-4

v=-4

v=-4

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

v=-2,-4

Solve for v |5v+15|=5