Solve 4(x-2)-1/9(3x-4)=

$$4 ( x - 2 ) - \frac { 1 } { 9 } ( 3 x - 4 ) =$$

Evaluate

$$\frac{11x}{3}-\frac{68}{9}$$

Solution Steps

Use the distributive property to multiply 4 by x-2.

$$4x-8-\frac{1}{9}\left(3x-4\right)$$

Use the distributive property to multiply -\frac{1}{9} by 3x-4.

$$4x-8-\frac{1}{9}\times 3x-\frac{1}{9}\left(-4\right)$$

Express -\frac{1}{9}\times 3 as a single fraction.

$$4x-8+\frac{-3}{9}x-\frac{1}{9}\left(-4\right)$$

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

$$4x-8-\frac{1}{3}x-\frac{1}{9}\left(-4\right)$$

Express -\frac{1}{9}\left(-4\right) as a single fraction.

$$4x-8-\frac{1}{3}x+\frac{-\left(-4\right)}{9}$$

Multiply -1 and -4 to get 4.

$$4x-8-\frac{1}{3}x+\frac{4}{9}$$

Combine 4x and -\frac{1}{3}x to get \frac{11}{3}x.

$$\frac{11}{3}x-8+\frac{4}{9}$$

Convert -8 to fraction -\frac{72}{9}.

$$\frac{11}{3}x-\frac{72}{9}+\frac{4}{9}$$

Since -\frac{72}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{11}{3}x+\frac{-72+4}{9}$$

Add -72 and 4 to get -68.

$$\frac{11}{3}x-\frac{68}{9}$$

Expand

$$\frac{11x}{3}-\frac{68}{9}$$

Solution Steps

Use the distributive property to multiply 4 by x-2.

$$4x-8-\frac{1}{9}\left(3x-4\right)$$

Use the distributive property to multiply -\frac{1}{9} by 3x-4.

$$4x-8-\frac{1}{9}\times 3x-\frac{1}{9}\left(-4\right)$$

Express -\frac{1}{9}\times 3 as a single fraction.

$$4x-8+\frac{-3}{9}x-\frac{1}{9}\left(-4\right)$$

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

$$4x-8-\frac{1}{3}x-\frac{1}{9}\left(-4\right)$$

Express -\frac{1}{9}\left(-4\right) as a single fraction.

$$4x-8-\frac{1}{3}x+\frac{-\left(-4\right)}{9}$$

Multiply -1 and -4 to get 4.

$$4x-8-\frac{1}{3}x+\frac{4}{9}$$

Combine 4x and -\frac{1}{3}x to get \frac{11}{3}x.

$$\frac{11}{3}x-8+\frac{4}{9}$$

Convert -8 to fraction -\frac{72}{9}.

$$\frac{11}{3}x-\frac{72}{9}+\frac{4}{9}$$

Since -\frac{72}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{11}{3}x+\frac{-72+4}{9}$$

Add -72 and 4 to get -68.

$$\frac{11}{3}x-\frac{68}{9}$$