Solve 5-3x/3-x=x+2/3

$$\frac { 5 - 3 x } { 3 } - x = x + \frac { 2 } { 3 }$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$5-3x-3x=3x+2$$

Combine -3x and -3x to get -6x.

$$5-6x=3x+2$$

Subtract 3x from both sides.

$$5-6x-3x=2$$

Combine -6x and -3x to get -9x.

$$5-9x=2$$

Subtract 5 from both sides.

$$-9x=2-5$$

Subtract 5 from 2 to get -3.

$$-9x=-3$$

Divide both sides by -9.

$$x=\frac{-3}{-9}$$

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

$$x=\frac{1}{3}$$