|8s-1|+2=13

Subtract 2 from both sides of the equation.

|8s-1|=13-2

Subtract 2 from 13.

|8s-1|=11

|8s-1|=11

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

8s-1=±11

Set up the positive portion of the ± solution.

8s-1=11

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

Add 1 to both sides of the equation.

8s=11+1

Add 11 and 1.

8s=12

8s=12

Divide each term by 8 and simplify.

Divide each term in 8s=12 by 8.

8s8=128

Cancel the common factor of 8.

Cancel the common factor.

8s8=128

Divide s by 1.

s=128

s=128

Cancel the common factor of 12 and 8.

Factor 4 out of 12.

s=4(3)8

Cancel the common factors.

Factor 4 out of 8.

s=4⋅34⋅2

Cancel the common factor.

s=4⋅34⋅2

Rewrite the expression.

s=32

s=32

s=32

s=32

s=32

Set up the negative portion of the ± solution.

8s-1=-11

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

Add 1 to both sides of the equation.

8s=-11+1

Add -11 and 1.

8s=-10

8s=-10

Divide each term by 8 and simplify.

Divide each term in 8s=-10 by 8.

8s8=-108

Cancel the common factor of 8.

Cancel the common factor.

8s8=-108

Divide s by 1.

s=-108

s=-108

Simplify -108.

Cancel the common factor of -10 and 8.

Factor 2 out of -10.

s=2(-5)8

Cancel the common factors.

Factor 2 out of 8.

s=2⋅-52⋅4

Cancel the common factor.

s=2⋅-52⋅4

Rewrite the expression.

s=-54

s=-54

s=-54

Move the negative in front of the fraction.

s=-54

s=-54

s=-54

s=-54

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

s=32,-54

The result can be shown in multiple forms.

Exact Form:

s=32,-54

Decimal Form:

s=1.5,-1.25

Mixed Number Form:

s=112,-114

Solve for s |8s-1|+2=13