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

Math
|8s-1|+2=13
Move all terms not containing |8s-1| to the right side of the equation.
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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
Solve the first equation for s.
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Move all terms not containing s to the right side of the equation.
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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.
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Divide each term in 8s=12 by 8.
8s8=128
Cancel the common factor of 8.
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Cancel the common factor.
8s8=128
Divide s by 1.
s=128
s=128
Cancel the common factor of 12 and 8.
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Factor 4 out of 12.
s=4(3)8
Cancel the common factors.
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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
Solve the second equation for s.
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Move all terms not containing s to the right side of the equation.
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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.
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Divide each term in 8s=-10 by 8.
8s8=-108
Cancel the common factor of 8.
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Cancel the common factor.
8s8=-108
Divide s by 1.
s=-108
s=-108
Simplify -108.
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Cancel the common factor of -10 and 8.
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Factor 2 out of -10.
s=2(-5)8
Cancel the common factors.
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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

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