Solve for m m/6-7=2/3

$\frac{m}{6} - 7 = \frac{2}{3}$

Step 1

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

Add $7$ to both sides of the equation.

$\frac{m}{6} = \frac{2}{3} + 7$

To write $7$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{m}{6} = \frac{2}{3} + 7 \cdot \frac{3}{3}$

Combine $7$ and $\frac{3}{3}$ .

$\frac{m}{6} = \frac{2}{3} + \frac{7 \cdot 3}{3}$

Combine the numerators over the common denominator.

$\frac{m}{6} = \frac{2 + 7 \cdot 3}{3}$

Simplify the numerator.

Multiply $7$ by $3$ .

$\frac{m}{6} = \frac{2 + 21}{3}$

Add $2$ and $21$ .

$\frac{m}{6} = \frac{23}{3}$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{m}{6} = 6 (\frac{23}{3})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{m}{6} = 6 (\frac{23}{3})$

Rewrite the expression.

$m = 6 (\frac{23}{3})$

Simplify the right side.

Simplify $6 (\frac{23}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$m = 3 (2) \frac{23}{3}$

Cancel the common factor.

$m = 3 \cdot 2 \frac{23}{3}$

Rewrite the expression.

$m = 2 \cdot 23$

Multiply $2$ by $23$ .

$m = 46$