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

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

Solve for x

$$x=\frac{4}{23}\approx 0.173913043$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6x-\left(x-2\right)+12=9\left(2-2x\right)$$

To find the opposite of x-2, find the opposite of each term.

$$6x-x-\left(-2\right)+12=9\left(2-2x\right)$$

The opposite of -2 is 2.

$$6x-x+2+12=9\left(2-2x\right)$$

Combine 6x and -x to get 5x.

$$5x+2+12=9\left(2-2x\right)$$

Add 2 and 12 to get 14.

$$5x+14=9\left(2-2x\right)$$

Use the distributive property to multiply 9 by 2-2x.

$$5x+14=18-18x$$

Add 18x to both sides.

$$5x+14+18x=18$$

Combine 5x and 18x to get 23x.

$$23x+14=18$$

Subtract 14 from both sides.

$$23x=18-14$$

Subtract 14 from 18 to get 4.

$$23x=4$$

Divide both sides by 23.

$$x=\frac{4}{23}$$