Solve ax-9=3(x-3)

$$a x - 9 = 3 ( x - 3 )$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=3\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-3.

$$ax-9=3x-9$$

Add 9 to both sides.

$$ax=3x-9+9$$

Add -9 and 9 to get 0.

$$ax=3x$$

The equation is in standard form.

$$xa=3x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 3x by x.

$$a=3$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&a=3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-3.

$$ax-9=3x-9$$

Subtract 3x from both sides.

$$ax-9-3x=-9$$

Add 9 to both sides.

$$ax-3x=-9+9$$

Add -9 and 9 to get 0.

$$ax-3x=0$$

Combine all terms containing x.

$$\left(a-3\right)x=0$$

Divide 0 by -3+a.

$$x=0$$

Solve for a

$$\left\{\begin{matrix}\\a=3\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-3.

$$ax-9=3x-9$$

Add 9 to both sides.

$$ax=3x-9+9$$

Add -9 and 9 to get 0.

$$ax=3x$$

The equation is in standard form.

$$xa=3x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 3x by x.

$$a=3$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&a=3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-3.

$$ax-9=3x-9$$

Subtract 3x from both sides.

$$ax-9-3x=-9$$

Add 9 to both sides.

$$ax-3x=-9+9$$

Add -9 and 9 to get 0.

$$ax-3x=0$$

Combine all terms containing x.

$$\left(a-3\right)x=0$$

Divide 0 by -3+a.

$$x=0$$