Solve -1100-20(360+6x/18)

$$- 1100 - 20 ( \frac { 360 + 6 x } { 18 } )$$

Evaluate

$$-\frac{20x}{3}-1500$$

Short Solution Steps

Express 20\times \frac{360+6x}{18} as a single fraction.

$$-1100-\frac{20\left(360+6x\right)}{18}$$

Use the distributive property to multiply 20 by 360+6x.

$$-1100-\frac{7200+120x}{18}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -1100 times \frac{18}{18}.

$$-\frac{1100\times 18}{18}-\frac{7200+120x}{18}$$

Since -\frac{1100\times 18}{18} and \frac{7200+120x}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1100\times 18-\left(7200+120x\right)}{18}$$

Do the multiplications in -1100\times 18-\left(7200+120x\right).

$$\frac{-19800-7200-120x}{18}$$

Combine like terms in -19800-7200-120x.

$$\frac{-27000-120x}{18}$$

Expand

$$-\frac{20x}{3}-1500$$

Short Solution Steps

Express 20\times \frac{360+6x}{18} as a single fraction.

$$-1100-\frac{20\left(360+6x\right)}{18}$$

Use the distributive property to multiply 20 by 360+6x.

$$-1100-\frac{7200+120x}{18}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -1100 times \frac{18}{18}.

$$-\frac{1100\times 18}{18}-\frac{7200+120x}{18}$$

Since -\frac{1100\times 18}{18} and \frac{7200+120x}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1100\times 18-\left(7200+120x\right)}{18}$$

Do the multiplications in -1100\times 18-\left(7200+120x\right).

$$\frac{-19800-7200-120x}{18}$$

Combine like terms in -19800-7200-120x.

$$\frac{-27000-120x}{18}$$