Solve for m -7+1/6m=5

$- 7 + \frac{1}{6} m = 5$

Step 1

Combine $\frac{1}{6}$ and $m$ .

$- 7 + \frac{m}{6} = 5$

Step 2

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

Add $7$ to both sides of the equation.

$\frac{m}{6} = 5 + 7$

Add $5$ and $7$ .

$\frac{m}{6} = 12$

Step 3

Multiply both sides of the equation by $6$ .

$6 \frac{m}{6} = 6 \cdot 12$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{m}{6} = 6 \cdot 12$

Rewrite the expression.

$m = 6 \cdot 12$

Simplify the right side.

Multiply $6$ by $12$ .

$m = 72$