Solve -3/8(3x-2)

$$- \frac{ 3 }{ 8 } (3x-2)$$

Evaluate

$$-\frac{9x}{8}+\frac{3}{4}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{8} by 3x-2.

$$-\frac{3}{8}\times 3x-\frac{3}{8}\left(-2\right)$$

Express -\frac{3}{8}\times 3 as a single fraction.

$$\frac{-3\times 3}{8}x-\frac{3}{8}\left(-2\right)$$

Multiply -3 and 3 to get -9.

$$\frac{-9}{8}x-\frac{3}{8}\left(-2\right)$$

Fraction \frac{-9}{8} can be rewritten as -\frac{9}{8} by extracting the negative sign.

$$-\frac{9}{8}x-\frac{3}{8}\left(-2\right)$$

Express -\frac{3}{8}\left(-2\right) as a single fraction.

$$-\frac{9}{8}x+\frac{-3\left(-2\right)}{8}$$

Multiply -3 and -2 to get 6.

$$-\frac{9}{8}x+\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{8}x+\frac{3}{4}$$

Expand

$$-\frac{9x}{8}+\frac{3}{4}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{8} by 3x-2.

$$-\frac{3}{8}\times 3x-\frac{3}{8}\left(-2\right)$$

Express -\frac{3}{8}\times 3 as a single fraction.

$$\frac{-3\times 3}{8}x-\frac{3}{8}\left(-2\right)$$

Multiply -3 and 3 to get -9.

$$\frac{-9}{8}x-\frac{3}{8}\left(-2\right)$$

Fraction \frac{-9}{8} can be rewritten as -\frac{9}{8} by extracting the negative sign.

$$-\frac{9}{8}x-\frac{3}{8}\left(-2\right)$$

Express -\frac{3}{8}\left(-2\right) as a single fraction.

$$-\frac{9}{8}x+\frac{-3\left(-2\right)}{8}$$

Multiply -3 and -2 to get 6.

$$-\frac{9}{8}x+\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{8}x+\frac{3}{4}$$