Solve 15=n(x_{1})+2n(x_{1})+2n(x_{1})

$$15 = n ( x _ { 1 } ) + 2 n ( x _ { 1 } ) + 2 n ( x _ { 1 } )$$

Solve for n

$$n=\frac{3}{x_{1}}$$

$$x_{1}\neq 0$$

Steps for Solving Linear Equation

Combine nx_{1} and 2nx_{1} to get 3nx_{1}.

$$15=3nx_{1}+2nx_{1}$$

Combine 3nx_{1} and 2nx_{1} to get 5nx_{1}.

$$15=5nx_{1}$$

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

$$5nx_{1}=15$$

The equation is in standard form.

$$5x_{1}n=15$$

Divide both sides by 5x_{1}.

$$\frac{5x_{1}n}{5x_{1}}=\frac{15}{5x_{1}}$$

Dividing by 5x_{1} undoes the multiplication by 5x_{1}.

$$n=\frac{15}{5x_{1}}$$

Divide 15 by 5x_{1}.

$$n=\frac{3}{x_{1}}$$

Solve for x_1

$$x_{1}=\frac{3}{n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Combine nx_{1} and 2nx_{1} to get 3nx_{1}.

$$15=3nx_{1}+2nx_{1}$$

Combine 3nx_{1} and 2nx_{1} to get 5nx_{1}.

$$15=5nx_{1}$$

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

$$5nx_{1}=15$$

Divide both sides by 5n.

$$\frac{5nx_{1}}{5n}=\frac{15}{5n}$$

Dividing by 5n undoes the multiplication by 5n.

$$x_{1}=\frac{15}{5n}$$

Divide 15 by 5n.

$$x_{1}=\frac{3}{n}$$