Solve ax=a^2-2left(a-xright)

$$ax = { a }^{ 2 } -2 \left( a-x \right)$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=a\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&a=2\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ax=a^{2}-2a+2x$$

Subtract 2x from both sides.

$$ax-2x=a^{2}-2a$$

Combine all terms containing x.

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

Divide both sides by -2+a.

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

Dividing by -2+a undoes the multiplication by -2+a.

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

Divide a\left(-2+a\right) by -2+a.

$$x=a$$

Solve for x

$$\left\{\begin{matrix}\\x=a\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&a=2\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ax=a^{2}-2a+2x$$

Subtract 2x from both sides.

$$ax-2x=a^{2}-2a$$

Combine all terms containing x.

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

Divide both sides by -2+a.

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

Dividing by -2+a undoes the multiplication by -2+a.

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

Divide a\left(-2+a\right) by -2+a.

$$x=a$$

Solve for a

$$a=x$$

$$a=2$$