Solve 5+n=2xn

$$5 + n = 2 x n$$

Solve for n

$$n=-\frac{5}{1-2x}$$

$$x\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 2xn from both sides.

$$5+n-2xn=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$n-2xn=-5$$

Combine all terms containing n.

$$\left(1-2x\right)n=-5$$

Divide both sides by 1-2x.

$$\frac{\left(1-2x\right)n}{1-2x}=-\frac{5}{1-2x}$$

Dividing by 1-2x undoes the multiplication by 1-2x.

$$n=-\frac{5}{1-2x}$$

Solve for x

$$x=\frac{1}{2}+\frac{5}{2n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

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

$$2xn=5+n$$

The equation is in standard form.

$$2nx=n+5$$

Divide both sides by 2n.

$$\frac{2nx}{2n}=\frac{n+5}{2n}$$

Dividing by 2n undoes the multiplication by 2n.

$$x=\frac{n+5}{2n}$$

Divide 5+n by 2n.

$$x=\frac{1}{2}+\frac{5}{2n}$$