Solve 2x-4/15*6/2-x

$$\frac { 2 x - 4 } { 15 } * \frac { 6 } { 2 - x }$$

Evaluate

$$-\frac{4}{5}=-0.8$$

Short Solution Steps

Multiply \frac{2x-4}{15} times \frac{6}{2-x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2x-4\right)\times 6}{15\left(2-x\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(2x-4\right)}{5\left(-x+2\right)}$$

Factor the expressions that are not already factored.

$$\frac{2^{2}\left(x-2\right)}{5\left(-x+2\right)}$$

Extract the negative sign in -2+x.

$$\frac{-2^{2}\left(-x+2\right)}{5\left(-x+2\right)}$$

Cancel out -x+2 in both numerator and denominator.

$$\frac{-2^{2}}{5}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{-4}{5}$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$-\frac{4}{5}$$

Factor

$$-\frac{4}{5} = -0.8$$