Solve 2x-3/4(2x+80)

$$2 x - \frac { 3 } { 4 } ( 2 x + 80 )$$

Evaluate

$$\frac{x}{2}-60$$

Solution Steps

Use the distributive property to multiply -\frac{3}{4} by 2x+80.

$$2x-\frac{3}{4}\times 2x-\frac{3}{4}\times 80$$

Express -\frac{3}{4}\times 2 as a single fraction.

$$2x+\frac{-3\times 2}{4}x-\frac{3}{4}\times 80$$

Multiply -3 and 2 to get -6.

$$2x+\frac{-6}{4}x-\frac{3}{4}\times 80$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$2x-\frac{3}{2}x-\frac{3}{4}\times 80$$

Express -\frac{3}{4}\times 80 as a single fraction.

$$2x-\frac{3}{2}x+\frac{-3\times 80}{4}$$

Multiply -3 and 80 to get -240.

$$2x-\frac{3}{2}x+\frac{-240}{4}$$

Divide -240 by 4 to get -60.

$$2x-\frac{3}{2}x-60$$

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

$$\frac{1}{2}x-60$$

Expand

$$\frac{x}{2}-60$$

Solution Steps

Use the distributive property to multiply -\frac{3}{4} by 2x+80.

$$2x-\frac{3}{4}\times 2x-\frac{3}{4}\times 80$$

Express -\frac{3}{4}\times 2 as a single fraction.

$$2x+\frac{-3\times 2}{4}x-\frac{3}{4}\times 80$$

Multiply -3 and 2 to get -6.

$$2x+\frac{-6}{4}x-\frac{3}{4}\times 80$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$2x-\frac{3}{2}x-\frac{3}{4}\times 80$$

Express -\frac{3}{4}\times 80 as a single fraction.

$$2x-\frac{3}{2}x+\frac{-3\times 80}{4}$$

Multiply -3 and 80 to get -240.

$$2x-\frac{3}{2}x+\frac{-240}{4}$$

Divide -240 by 4 to get -60.

$$2x-\frac{3}{2}x-60$$

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

$$\frac{1}{2}x-60$$