Solve for m m/3-(2m)/5=1/5

$\frac{m}{3} - \frac{2 m}{5} = \frac{1}{5}$

Simplify $\frac{m}{3} - \frac{2 m}{5}$ .

To write $\frac{m}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{m}{3} \cdot \frac{5}{5} - \frac{2 m}{5} = \frac{1}{5}$

To write $- \frac{2 m}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{m}{3} \cdot \frac{5}{5} - \frac{2 m}{5} \cdot \frac{3}{3} = \frac{1}{5}$

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{m}{3}$ by $\frac{5}{5}$ .

$\frac{m \cdot 5}{3 \cdot 5} - \frac{2 m}{5} \cdot \frac{3}{3} = \frac{1}{5}$

Multiply $3$ by $5$ .

$\frac{m \cdot 5}{15} - \frac{2 m}{5} \cdot \frac{3}{3} = \frac{1}{5}$

Multiply $\frac{2 m}{5}$ by $\frac{3}{3}$ .

$\frac{m \cdot 5}{15} - \frac{2 m \cdot 3}{5 \cdot 3} = \frac{1}{5}$

Multiply $5$ by $3$ .

$\frac{m \cdot 5}{15} - \frac{2 m \cdot 3}{15} = \frac{1}{5}$

Combine the numerators over the common denominator.

$\frac{m \cdot 5 - 2 m \cdot 3}{15} = \frac{1}{5}$

Simplify the numerator.

Factor $m$ out of $m \cdot 5 - 2 m \cdot 3$ .

Factor $m$ out of $m \cdot 5$ .

$\frac{m (5) - 2 m \cdot 3}{15} = \frac{1}{5}$

Factor $m$ out of $- 2 m \cdot 3$ .

$\frac{m (5) + m (- 2 \cdot 3)}{15} = \frac{1}{5}$

Factor $m$ out of $m (5) + m (- 2 \cdot 3)$ .

$\frac{m (5 - 2 \cdot 3)}{15} = \frac{1}{5}$

Multiply $- 2$ by $3$ .

$\frac{m (5 - 6)}{15} = \frac{1}{5}$

Subtract $6$ from $5$ .

$\frac{m \cdot - 1}{15} = \frac{1}{5}$

Simplify the expression.

Move $- 1$ to the left of $m$ .

$\frac{- 1 \cdot m}{15} = \frac{1}{5}$

Move the negative in front of the fraction.

$- \frac{m}{15} = \frac{1}{5}$

Multiply both sides of the equation by $- 15$ .

$- 15 (- \frac{m}{15}) = - 15 (\frac{1}{5})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 15 (- \frac{m}{15})$ .

Cancel the common factor of $15$ .

Move the leading negative in $- \frac{m}{15}$ into the numerator.

$- 15 \frac{- m}{15} = - 15 (\frac{1}{5})$

Factor $15$ out of $- 15$ .

$15 (- 1) \frac{- m}{15} = - 15 (\frac{1}{5})$

Cancel the common factor.

$15 \cdot - 1 \frac{- m}{15} = - 15 (\frac{1}{5})$

Rewrite the expression.

$- - m = - 15 (\frac{1}{5})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 m = - 15 (\frac{1}{5})$

Multiply $m$ by $1$ .

$m = - 15 (\frac{1}{5})$

Simplify the right side.

Cancel the common factor of $5$ .

Factor $5$ out of $- 15$ .

$m = 5 (- 3) \frac{1}{5}$

Cancel the common factor.

$m = 5 \cdot - 3 \frac{1}{5}$

Rewrite the expression.

$m = - 3$

Solve for m m/3-(2m)/5=1/5

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