|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

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

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.

Divide each term in 3x=9 by 3.

3×3=93

Cancel the common factor of 3.

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

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

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.

Divide each term in 3x=1 by 3.

3×3=13

Cancel the common factor of 3.

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