Solve 2*2/frac{2{x}-7}

$$\frac { 2 \times 2 } { \frac { 2 } { x } - 7 }$$

Evaluate

$$-\frac{4x}{7x-2}$$

Short Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4}{\frac{2}{x}-7}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{x}{x}.

$$\frac{4}{\frac{2}{x}-\frac{7x}{x}}$$

Since \frac{2}{x} and \frac{7x}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{\frac{2-7x}{x}}$$

Divide 4 by \frac{2-7x}{x} by multiplying 4 by the reciprocal of \frac{2-7x}{x}.

$$\frac{4x}{2-7x}$$

Factor

$$-\frac{4x}{7x-2}$$