\[|3x|=x+6\]

Choose Topic

Examples

Break down the problem into these 2 equations.

3x=x+6

-3x=x+6

Solve the 1st equation:

3x=x+6

Subtract

x

from both sides.

3x-x=6

Simplify

3x-x

2x

2x=6

Divide both sides by

2

x=\frac{6}{2}

Simplify

\frac{6}{2}

3

x=3

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

x=3

Solve the 2nd equation:

-3x=x+6

Subtract

x

from both sides.

-3x-x=6

Simplify

-3x-x

-4x

-4x=6

Divide both sides by

-4

x=-\frac{6}{4}

Simplify

\frac{6}{4}

\frac{3}{2}

x=-\frac{3}{2}

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

x=-\frac{3}{2}

Collect all solutions.

x=-\frac{3}{2},3

Done

Decimal Form: -1.5, 3

Like this solution? Share it!