Solve 12/10xy-4/5xy+-10/20x+xy-2xy

$$\frac{ 12 }{ 10 } xy- \frac{ 4 }{ 5 } xy+- \frac{ 10 }{ 20 } x+xy-2xy$$

Evaluate

$$-\frac{3xy}{5}-\frac{x}{2}$$

Solution Steps

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}xy-\frac{4}{5}xy+\left(-\frac{10}{20}\right)x+xy-2xy$$

Combine \frac{6}{5}xy and -\frac{4}{5}xy to get \frac{2}{5}xy.

$$\frac{2}{5}xy+\left(-\frac{10}{20}\right)x+xy-2xy$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{2}{5}xy-\frac{1}{2}x+xy-2xy$$

Combine \frac{2}{5}xy and xy to get \frac{7}{5}xy.

$$\frac{7}{5}xy-\frac{1}{2}x-2xy$$

Combine \frac{7}{5}xy and -2xy to get -\frac{3}{5}xy.

$$-\frac{3}{5}xy-\frac{1}{2}x$$

Factor

$$\frac{x\left(-6y-5\right)}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{12xy-8xy-5x+10xy-20xy}{10}$$

Consider 12xy-8xy-5x+10xy-20xy. Factor out x.

$$x\left(12y-8y-5+10y-20y\right)$$

Consider 12y-8y-5+10y-20y. Multiply and combine like terms.

$$-6y-5$$

Rewrite the complete factored expression.

$$\frac{x\left(-6y-5\right)}{10}$$