Solve for a a-(2a)/5=3

$a - \frac{2 a}{5} = 3$

Step 1

Simplify $a - \frac{2 a}{5}$ .

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

$a \cdot \frac{5}{5} - \frac{2 a}{5} = 3$

Simplify terms.

Combine $a$ and $\frac{5}{5}$ .

$\frac{a \cdot 5}{5} - \frac{2 a}{5} = 3$

Combine the numerators over the common denominator.

$\frac{a \cdot 5 - 2 a}{5} = 3$

Simplify the numerator.

Move $5$ to the left of $a$ .

$\frac{5 \cdot a - 2 a}{5} = 3$

Subtract $2 a$ from $5 a$ .

$\frac{3 a}{5} = 3$

Step 2

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} \cdot \frac{3 a}{5} = \frac{5}{3} \cdot 3$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} \cdot \frac{3 a}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 a}{5} = \frac{5}{3} \cdot 3$

Rewrite the expression.

$\frac{1}{3} (3 a) = \frac{5}{3} \cdot 3$

Cancel the common factor of $3$ .

Factor $3$ out of $3 a$ .

$\frac{1}{3} (3 (a)) = \frac{5}{3} \cdot 3$

Cancel the common factor.

$\frac{1}{3} (3 a) = \frac{5}{3} \cdot 3$

Rewrite the expression.

$a = \frac{5}{3} \cdot 3$

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

$a = \frac{5}{3} \cdot 3$

Rewrite the expression.

$a = 5$