Solve mx=p+nx

$$m x = p + n x$$

Solve for m

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

Steps for Solving Linear Equation

The equation is in standard form.

$$xm=nx+p$$

Divide both sides by x.

$$\frac{xm}{x}=\frac{nx+p}{x}$$

Dividing by x undoes the multiplication by x.

$$m=\frac{nx+p}{x}$$

Divide p+nx by x.

$$m=n+\frac{p}{x}$$

Solve for n

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

Steps for Solving Linear Equation

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

$$p+nx=mx$$

Subtract p from both sides.

$$nx=mx-p$$

The equation is in standard form.

$$xn=mx-p$$

Divide both sides by x.

$$\frac{xn}{x}=\frac{mx-p}{x}$$

Dividing by x undoes the multiplication by x.

$$n=\frac{mx-p}{x}$$

Divide mx-p by x.

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