Solve 2/3(9-6x)=4(x+3)

$$\frac{ 2 }{ 3 } (9-6x)=4(x+3)$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{3} by 9-6x.

$$\frac{2}{3}\times 9+\frac{2}{3}\left(-6\right)x=4\left(x+3\right)$$

Express \frac{2}{3}\times 9 as a single fraction.

$$\frac{2\times 9}{3}+\frac{2}{3}\left(-6\right)x=4\left(x+3\right)$$

Multiply 2 and 9 to get 18.

$$\frac{18}{3}+\frac{2}{3}\left(-6\right)x=4\left(x+3\right)$$

Divide 18 by 3 to get 6.

$$6+\frac{2}{3}\left(-6\right)x=4\left(x+3\right)$$

Express \frac{2}{3}\left(-6\right) as a single fraction.

$$6+\frac{2\left(-6\right)}{3}x=4\left(x+3\right)$$

Multiply 2 and -6 to get -12.

$$6+\frac{-12}{3}x=4\left(x+3\right)$$

Divide -12 by 3 to get -4.

$$6-4x=4\left(x+3\right)$$

Use the distributive property to multiply 4 by x+3.

$$6-4x=4x+12$$

Subtract 4x from both sides.

$$6-4x-4x=12$$

Combine -4x and -4x to get -8x.

$$6-8x=12$$

Subtract 6 from both sides.

$$-8x=12-6$$

Subtract 6 from 12 to get 6.

$$-8x=6$$

Divide both sides by -8.

$$x=\frac{6}{-8}$$

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

$$x=-\frac{3}{4}$$