Solve for a a/3=2/5b-1

$\frac{a}{3} = \frac{2}{5} b - 1$

Step 1

Multiply both sides of the equation by $3$ .

$3 \frac{a}{3} = 3 (\frac{2}{5} b - 1)$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{a}{3} = 3 (\frac{2}{5} b - 1)$

Rewrite the expression.

$a = 3 (\frac{2}{5} b - 1)$

$a = 3 (\frac{2}{5} b - 1)$

$a = 3 (\frac{2}{5} b - 1)$

Simplify the right side.

Simplify $3 (\frac{2}{5} b - 1)$ .

Combine $\frac{2}{5}$ and $b$ .

$a = 3 (\frac{2 b}{5} - 1)$

Apply the distributive property.

$a = 3 \frac{2 b}{5} + 3 \cdot - 1$

Multiply $3 \frac{2 b}{5}$ .

Combine $3$ and $\frac{2 b}{5}$ .

$a = \frac{3 (2 b)}{5} + 3 \cdot - 1$

Multiply $2$ by $3$ .

$a = \frac{6 b}{5} + 3 \cdot - 1$

$a = \frac{6 b}{5} + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$a = \frac{6 b}{5} - 3$

$a = \frac{6 b}{5} - 3$

$a = \frac{6 b}{5} - 3$

$a = \frac{6 b}{5} - 3$

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