Solve n:8x+7x+6=90

$$n : 8 x + 7 x + 6 = 90$$

Solve for n

$$n=-56+\frac{672}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8.

$$nx+56x+48=720$$

Subtract 56x from both sides.

$$nx+48=720-56x$$

Subtract 48 from both sides.

$$nx=720-56x-48$$

Subtract 48 from 720 to get 672.

$$nx=672-56x$$

The equation is in standard form.

$$xn=672-56x$$

Divide both sides by x.

$$\frac{xn}{x}=\frac{672-56x}{x}$$

Dividing by x undoes the multiplication by x.

$$n=\frac{672-56x}{x}$$

Divide 672-56x by x.

$$n=-56+\frac{672}{x}$$

Solve for x

$$x=\frac{672}{n+56}$$

$$n\neq -56$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8.

$$nx+56x+48=720$$

Subtract 48 from both sides.

$$nx+56x=720-48$$

Subtract 48 from 720 to get 672.

$$nx+56x=672$$

Combine all terms containing x.

$$\left(n+56\right)x=672$$

Divide both sides by n+56.

$$\frac{\left(n+56\right)x}{n+56}=\frac{672}{n+56}$$

Dividing by n+56 undoes the multiplication by n+56.

$$x=\frac{672}{n+56}$$