Divide (2y-6x)/(3x)

$\frac{2 y - 6 x}{3 x}$

Factor $2$ out of $2 y - 6 x$ .

Factor $2$ out of $2 y$ .

$\frac{2 (y) - 6 x}{3 x}$

Factor $2$ out of $- 6 x$ .

$\frac{2 (y) + 2 (- 3 x)}{3 x}$

Factor $2$ out of $2 (y) + 2 (- 3 x)$ .

$\frac{2 (y - 3 x)}{3 x}$

$\frac{2 (y - 3 x)}{3 x}$

Apply the distributive property.

$\frac{2 y + 2 (- 3 x)}{3 x}$

Multiply $- 3$ by $2$ .

$\frac{2 y - 6 x}{3 x}$

Split the fraction $\frac{2 y - 6 x}{3 x}$ into two fractions.

$\frac{2 y}{3 x} + \frac{- 6 x}{3 x}$

Cancel the common factor of $- 6$ and $3$ .

Factor $3$ out of $- 6 x$ .

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 x}$

Cancel the common factors.

Factor $3$ out of $3 x$ .

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 (x)}$

Cancel the common factor.

$\frac{2 y}{3 x} + \frac{3 (- 2 x)}{3 x}$

Rewrite the expression.

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{2 y}{3 x} + \frac{- 2 x}{x}$

Divide $- 2$ by $1$ .

$\frac{2 y}{3 x} - 2$

$\frac{2 y}{3 x} - 2$

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