Simplify <math><mstyle displaystyle="true"><mo>-</mo><mn>5</mn><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo></mrow></mstyle></math> .

Apply the distributive property.

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>5</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>2</mn></mstyle></math> .

Move all terms not containing <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> to the right side of the equation.

Add <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> to both sides of the equation.

Add <math><mstyle displaystyle="true"><mn>10</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> or <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> for each of its variables. In this case, the degree of variable <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> and the degree of variable <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Linear

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