Solve Ax=12x-(x*4/2)

$$A x = 12 x - ( \frac { x \times 4 } { 2 } )$$

Solve for A (complex solution)

$$\left\{\begin{matrix}\\A=10\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2Ax=24x-x\times 4$$

Multiply -1 and 4 to get -4.

$$2Ax=24x-4x$$

Combine 24x and -4x to get 20x.

$$2Ax=20x$$

The equation is in standard form.

$$2xA=20x$$

Divide both sides by 2x.

$$\frac{2xA}{2x}=\frac{20x}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$A=\frac{20x}{2x}$$

Divide 20x by 2x.

$$A=10$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&A=10\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2Ax=24x-x\times 4$$

Subtract 24x from both sides.

$$2Ax-24x=-x\times 4$$

Add x\times 4 to both sides.

$$2Ax-24x+x\times 4=0$$

Combine -24x and x\times 4 to get -20x.

$$2Ax-20x=0$$

Combine all terms containing x.

$$\left(2A-20\right)x=0$$

Divide 0 by 2A-20.

$$x=0$$

Solve for A

$$\left\{\begin{matrix}\\A=10\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2Ax=24x-x\times 4$$

Multiply -1 and 4 to get -4.

$$2Ax=24x-4x$$

Combine 24x and -4x to get 20x.

$$2Ax=20x$$

The equation is in standard form.

$$2xA=20x$$

Divide both sides by 2x.

$$\frac{2xA}{2x}=\frac{20x}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$A=\frac{20x}{2x}$$

Divide 20x by 2x.

$$A=10$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&A=10\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2Ax=24x-x\times 4$$

Subtract 24x from both sides.

$$2Ax-24x=-x\times 4$$

Add x\times 4 to both sides.

$$2Ax-24x+x\times 4=0$$

Combine -24x and x\times 4 to get -20x.

$$2Ax-20x=0$$

Combine all terms containing x.

$$\left(2A-20\right)x=0$$

Divide 0 by 2A-20.

$$x=0$$