Solve x-2/3=x

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Divide each term of x-2 by 3 to get \frac{1}{3}x-\frac{2}{3}.

$$\frac{1}{3}x-\frac{2}{3}=x$$

Subtract x from both sides.

$$\frac{1}{3}x-\frac{2}{3}-x=0$$

Combine \frac{1}{3}x and -x to get -\frac{2}{3}x.

$$-\frac{2}{3}x-\frac{2}{3}=0$$

Add \frac{2}{3} to both sides. Anything plus zero gives itself.

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

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

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

Multiply \frac{2}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\left(-3\right)}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Divide -3 by 3 to get -1.

$$x=-1$$