Solve -1/6left(500-9xright)+(-x)

$$- \frac{ 1 }{ 6 } \left( 500-9x \right) +(-x)$$

Evaluate

$$\frac{x}{2}-\frac{250}{3}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{6} by 500-9x.

$$-\frac{1}{6}\times 500-\frac{1}{6}\left(-9\right)x-x$$

Express -\frac{1}{6}\times 500 as a single fraction.

$$\frac{-500}{6}-\frac{1}{6}\left(-9\right)x-x$$

Reduce the fraction \frac{-500}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{250}{3}-\frac{1}{6}\left(-9\right)x-x$$

Express -\frac{1}{6}\left(-9\right) as a single fraction.

$$-\frac{250}{3}+\frac{-\left(-9\right)}{6}x-x$$

Multiply -1 and -9 to get 9.

$$-\frac{250}{3}+\frac{9}{6}x-x$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{250}{3}+\frac{3}{2}x-x$$

Combine \frac{3}{2}x and -x to get \frac{1}{2}x.

$$-\frac{250}{3}+\frac{1}{2}x$$

Expand

$$\frac{x}{2}-\frac{250}{3}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{6} by 500-9x.

$$-\frac{1}{6}\times 500-\frac{1}{6}\left(-9\right)x-x$$

Express -\frac{1}{6}\times 500 as a single fraction.

$$\frac{-500}{6}-\frac{1}{6}\left(-9\right)x-x$$

Reduce the fraction \frac{-500}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{250}{3}-\frac{1}{6}\left(-9\right)x-x$$

Express -\frac{1}{6}\left(-9\right) as a single fraction.

$$-\frac{250}{3}+\frac{-\left(-9\right)}{6}x-x$$

Multiply -1 and -9 to get 9.

$$-\frac{250}{3}+\frac{9}{6}x-x$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{250}{3}+\frac{3}{2}x-x$$

Combine \frac{3}{2}x and -x to get \frac{1}{2}x.

$$-\frac{250}{3}+\frac{1}{2}x$$