Subtract <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math> .

Divide each term in <math><mstyle displaystyle="true"><mn>3</mn><mrow><mo>|</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>|</mo></mrow><mo>=</mo><mn>9</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>|</mo></mrow></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Remove the absolute value term. This creates a <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> on the right side of the equation because <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mo>=</mo><mo>±</mo><mi>x</mi></mstyle></math> .

Set up the positive portion of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> solution.

Subtract <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Set up the negative portion of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> solution.

Subtract <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> from <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> .

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

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