Solve m-m/x=m(n-p)/px

$$m - \frac { m } { x } = \frac { m ( n - p ) } { p x }$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=0\text{, }&p\neq 0\text{ and }x\neq 0\\m\in \mathrm{C}\text{, }&x=\frac{n}{p}\text{ and }p\neq 0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by px, the least common multiple of x,px.

$$pxm-pm=m\left(n-p\right)$$

Use the distributive property to multiply m by n-p.

$$pxm-pm=mn-mp$$

Subtract mn from both sides.

$$pxm-pm-mn=-mp$$

Add mp to both sides.

$$pxm-pm-mn+mp=0$$

Combine -pm and mp to get 0.

$$pxm-mn=0$$

Combine all terms containing m.

$$\left(px-n\right)m=0$$

Divide 0 by xp-n.

$$m=0$$

Solve for n (complex solution)

$$\left\{\begin{matrix}n=px\text{, }&p\neq 0\text{ and }x\neq 0\\n\in \mathrm{C}\text{, }&m=0\text{ and }p\neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by px, the least common multiple of x,px.

$$pxm-pm=m\left(n-p\right)$$

Use the distributive property to multiply m by n-p.

$$pxm-pm=mn-mp$$

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

$$mn-mp=pxm-pm$$

Add mp to both sides.

$$mn=pxm-pm+mp$$

Combine -pm and mp to get 0.

$$mn=pxm$$

The equation is in standard form.

$$mn=mpx$$

Divide both sides by m.

$$\frac{mn}{m}=\frac{mpx}{m}$$

Dividing by m undoes the multiplication by m.

$$n=\frac{mpx}{m}$$

Divide pxm by m.

$$n=px$$

Solve for m

$$\left\{\begin{matrix}m=0\text{, }&p\neq 0\text{ and }x\neq 0\\m\in \mathrm{R}\text{, }&x=\frac{n}{p}\text{ and }p\neq 0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by px, the least common multiple of x,px.

$$pxm-pm=m\left(n-p\right)$$

Use the distributive property to multiply m by n-p.

$$pxm-pm=mn-mp$$

Subtract mn from both sides.

$$pxm-pm-mn=-mp$$

Add mp to both sides.

$$pxm-pm-mn+mp=0$$

Combine -pm and mp to get 0.

$$pxm-mn=0$$

Combine all terms containing m.

$$\left(px-n\right)m=0$$

Divide 0 by xp-n.

$$m=0$$

Solve for n

$$\left\{\begin{matrix}n=px\text{, }&p\neq 0\text{ and }x\neq 0\\n\in \mathrm{R}\text{, }&m=0\text{ and }p\neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by px, the least common multiple of x,px.

$$pxm-pm=m\left(n-p\right)$$

Use the distributive property to multiply m by n-p.

$$pxm-pm=mn-mp$$

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

$$mn-mp=pxm-pm$$

Add mp to both sides.

$$mn=pxm-pm+mp$$

Combine -pm and mp to get 0.

$$mn=pxm$$

The equation is in standard form.

$$mn=mpx$$

Divide both sides by m.

$$\frac{mn}{m}=\frac{mpx}{m}$$

Dividing by m undoes the multiplication by m.

$$n=\frac{mpx}{m}$$

Divide pxm by m.

$$n=px$$