|5a+3|=5

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

5a+3=±5

Set up the positive portion of the ± solution.

5a+3=5

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

Subtract 3 from both sides of the equation.

5a=5-3

Subtract 3 from 5.

5a=2

5a=2

Divide each term by 5 and simplify.

Divide each term in 5a=2 by 5.

5a5=25

Cancel the common factor of 5.

Cancel the common factor.

5a5=25

Divide a by 1.

a=25

a=25

a=25

a=25

Set up the negative portion of the ± solution.

5a+3=-5

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

Subtract 3 from both sides of the equation.

5a=-5-3

Subtract 3 from -5.

5a=-8

5a=-8

Divide each term by 5 and simplify.

Divide each term in 5a=-8 by 5.

5a5=-85

Cancel the common factor of 5.

Cancel the common factor.

5a5=-85

Divide a by 1.

a=-85

a=-85

Move the negative in front of the fraction.

a=-85

a=-85

a=-85

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

a=25,-85

The result can be shown in multiple forms.

Exact Form:

a=25,-85

Decimal Form:

a=0.4,-1.6

Mixed Number Form:

a=25,-135

Solve for a |5a+3|=5