Solve for m (5m-3)/63=9/21

$\frac{5 m - 3}{63} = \frac{9}{21}$

Multiply both sides by $63$ .

$\frac{5 m - 3}{63} \cdot 63 = \frac{9}{21} \cdot 63$

Simplify.

Simplify the left side.

Cancel the common factor of $63$ .

Cancel the common factor.

$\frac{5 m - 3}{63} \cdot 63 = \frac{9}{21} \cdot 63$

Rewrite the expression.

$5 m - 3 = \frac{9}{21} \cdot 63$

Simplify the right side.

Simplify $\frac{9}{21} \cdot 63$ .

Cancel the common factor of $21$ .

Factor $21$ out of $63$ .

$5 m - 3 = \frac{9}{21} \cdot (21 (3))$

Cancel the common factor.

$5 m - 3 = \frac{9}{21} \cdot (21 \cdot 3)$

Rewrite the expression.

$5 m - 3 = 9 \cdot 3$

Multiply $9$ by $3$ .

$5 m - 3 = 27$

Solve for $m$ .

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

Add $3$ to both sides of the equation.

$5 m = 27 + 3$

Add $27$ and $3$ .

$5 m = 30$

Divide each term in $5 m = 30$ by $5$ and simplify.

Divide each term in $5 m = 30$ by $5$ .

$\frac{5 m}{5} = \frac{30}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m}{5} = \frac{30}{5}$

Divide $m$ by $1$ .

$m = \frac{30}{5}$

Simplify the right side.

Divide $30$ by $5$ .

$m = 6$