Solve (2-1/3x)*2sqrt{2}

$$( 2 - \frac { 1 } { 3 } x ) \times 2 \sqrt { 2 }$$

Evaluate

$$\frac{2\sqrt{2}\left(6-x\right)}{3}$$

Solution Steps

Use the distributive property to multiply 2 by 2-\frac{1}{3}x.

$$\left(4+2\left(-\frac{1}{3}\right)x\right)\sqrt{2}$$

Express 2\left(-\frac{1}{3}\right) as a single fraction.

$$\left(4+\frac{2\left(-1\right)}{3}x\right)\sqrt{2}$$

Multiply 2 and -1 to get -2.

$$\left(4+\frac{-2}{3}x\right)\sqrt{2}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\left(4-\frac{2}{3}x\right)\sqrt{2}$$

Use the distributive property to multiply 4-\frac{2}{3}x by \sqrt{2}.

$$4\sqrt{2}-\frac{2}{3}x\sqrt{2}$$

Factor

$$\frac{2\sqrt{2}\left(6-x\right)}{3}$$