Solve nx+5=n-2x

$$n x + 5 = n - 2 x$$

Solve for n

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

$$x\neq 1$$

Steps for Solving Linear Equation

Subtract n from both sides.

$$nx+5-n=-2x$$

Subtract 5 from both sides.

$$nx-n=-2x-5$$

Combine all terms containing n.

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

Divide both sides by x-1.

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

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

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

Divide -2x-5 by x-1.

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

Solve for x

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

$$n\neq -2$$

Steps for Solving Linear Equation

Add 2x to both sides.

$$nx+5+2x=n$$

Subtract 5 from both sides.

$$nx+2x=n-5$$

Combine all terms containing x.

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

Divide both sides by n+2.

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

Dividing by n+2 undoes the multiplication by n+2.

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