Solve x=(x+x-x)*xdivx

$$x=(x+x-x) \times x \div x$$

Solve for x

$$x\neq 0$$

Solution Steps

Combine x and x to get 2x.

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

Combine 2x and -x to get x.

$$x=\frac{xx}{x}$$

Multiply x and x to get x^{2}.

$$x=\frac{x^{2}}{x}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$x=x^{1}$$

Calculate x to the power of 1 and get x.

$$x=x$$

Subtract x from both sides.

$$x-x=0$$

Combine x and -x to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$