Solve 2/3(9x-12)=8+2x

$$\frac { 2 } { 3 } ( 9 x - 12 ) = 8 + 2 x$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{3} by 9x-12.

$$\frac{2}{3}\times 9x+\frac{2}{3}\left(-12\right)=8+2x$$

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

$$\frac{2\times 9}{3}x+\frac{2}{3}\left(-12\right)=8+2x$$

Multiply 2 and 9 to get 18.

$$\frac{18}{3}x+\frac{2}{3}\left(-12\right)=8+2x$$

Divide 18 by 3 to get 6.

$$6x+\frac{2}{3}\left(-12\right)=8+2x$$

Express \frac{2}{3}\left(-12\right) as a single fraction.

$$6x+\frac{2\left(-12\right)}{3}=8+2x$$

Multiply 2 and -12 to get -24.

$$6x+\frac{-24}{3}=8+2x$$

Divide -24 by 3 to get -8.

$$6x-8=8+2x$$

Subtract 2x from both sides.

$$6x-8-2x=8$$

Combine 6x and -2x to get 4x.

$$4x-8=8$$

Add 8 to both sides.

$$4x=8+8$$

Add 8 and 8 to get 16.

$$4x=16$$

Divide both sides by 4.

$$x=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x=4$$