Solve 5m+m=2xm

$$5 m + m = 2 x m$$

Solve for m (complex solution)

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

Steps for Solving Linear Equation

Combine 5m and m to get 6m.

$$6m=2xm$$

Subtract 2xm from both sides.

$$6m-2xm=0$$

Combine all terms containing m.

$$\left(6-2x\right)m=0$$

Divide 0 by 6-2x.

$$m=0$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

Combine 5m and m to get 6m.

$$6m=2xm$$

Swap sides so that all variable terms are on the left hand side.

$$2xm=6m$$

The equation is in standard form.

$$2mx=6m$$

Divide both sides by 2m.

$$\frac{2mx}{2m}=\frac{6m}{2m}$$

Dividing by 2m undoes the multiplication by 2m.

$$x=\frac{6m}{2m}$$

Divide 6m by 2m.

$$x=3$$

Solve for m

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

Steps for Solving Linear Equation

Combine 5m and m to get 6m.

$$6m=2xm$$

Subtract 2xm from both sides.

$$6m-2xm=0$$

Combine all terms containing m.

$$\left(6-2x\right)m=0$$

Divide 0 by 6-2x.

$$m=0$$

Solve for x

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

Steps for Solving Linear Equation

Combine 5m and m to get 6m.

$$6m=2xm$$

Swap sides so that all variable terms are on the left hand side.

$$2xm=6m$$

The equation is in standard form.

$$2mx=6m$$

Divide both sides by 2m.

$$\frac{2mx}{2m}=\frac{6m}{2m}$$

Dividing by 2m undoes the multiplication by 2m.

$$x=\frac{6m}{2m}$$

Divide 6m by 2m.

$$x=3$$