Solve for x |3x-5|=4

Math
|3x-5|=4
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
3x-5=±4
Set up the positive portion of the ± solution.
3x-5=4
Solve the first equation for x.
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Move all terms not containing x to the right side of the equation.
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Add 5 to both sides of the equation.
3x=4+5
Add 4 and 5.
3x=9
3x=9
Divide each term by 3 and simplify.
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Divide each term in 3x=9 by 3.
3×3=93
Cancel the common factor of 3.
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Cancel the common factor.
3×3=93
Divide x by 1.
x=93
x=93
Divide 9 by 3.
x=3
x=3
x=3
Set up the negative portion of the ± solution.
3x-5=-4
Solve the second equation for x.
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Move all terms not containing x to the right side of the equation.
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Add 5 to both sides of the equation.
3x=-4+5
Add -4 and 5.
3x=1
3x=1
Divide each term by 3 and simplify.
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Divide each term in 3x=1 by 3.
3×3=13
Cancel the common factor of 3.
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Cancel the common factor.
3×3=13
Divide x by 1.
x=13
x=13
x=13
x=13
The solution to the equation includes both the positive and negative portions of the solution.
x=3,13
The result can be shown in multiple forms.
Exact Form:
x=3,13
Decimal Form:
x=3,0.3‾
Solve for x |3x-5|=4

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