Solve m+2/3x=8n

$$m + \frac { 2 } { 3 } x = 8 n$$

Solve for n

$$n=\frac{m}{8}+\frac{x}{12}$$

Steps for Solving Linear Equation

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

$$8n=m+\frac{2}{3}x$$

The equation is in standard form.

$$8n=\frac{2x}{3}+m$$

Divide both sides by 8.

$$\frac{8n}{8}=\frac{\frac{2x}{3}+m}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$n=\frac{\frac{2x}{3}+m}{8}$$

Divide m+\frac{2x}{3} by 8.

$$n=\frac{m}{8}+\frac{x}{12}$$

Solve for m

$$m=-\frac{2x}{3}+8n$$

Solution Steps

Subtract \frac{2}{3}x from both sides.

$$m=8n-\frac{2}{3}x$$