Solve for h 3/7=h/14-2/7

$\frac{3}{7} = \frac{h}{14} - \frac{2}{7}$

Step 1

Rewrite the equation as $\frac{h}{14} - \frac{2}{7} = \frac{3}{7}$ .

$\frac{h}{14} - \frac{2}{7} = \frac{3}{7}$

Step 2

Move all terms not containing $h$ to the right side of the equation.

Add $\frac{2}{7}$ to both sides of the equation.

$\frac{h}{14} = \frac{3}{7} + \frac{2}{7}$

Combine the numerators over the common denominator.

$\frac{h}{14} = \frac{3 + 2}{7}$

Add $3$ and $2$ .

$\frac{h}{14} = \frac{5}{7}$

Step 3

Multiply both sides of the equation by $14$ .

$14 \frac{h}{14} = 14 (\frac{5}{7})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$14 \frac{h}{14} = 14 (\frac{5}{7})$

Rewrite the expression.

$h = 14 (\frac{5}{7})$

Simplify the right side.

Simplify $14 (\frac{5}{7})$ .

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

$h = 7 (2) \frac{5}{7}$

Cancel the common factor.

$h = 7 \cdot 2 \frac{5}{7}$

Rewrite the expression.

$h = 2 \cdot 5$

Multiply $2$ by $5$ .

$h = 10$