Simplify (3(2x-4)-5(x+3))/3

$\frac{3 (2 x - 4) - 5 (x + 3)}{3}$

Apply the distributive property.

$\frac{3 (2 x) + 3 \cdot - 4 - 5 (x + 3)}{3}$

Multiply $2$ by $3$ .

$\frac{6 x + 3 \cdot - 4 - 5 (x + 3)}{3}$

Multiply $3$ by $- 4$ .

$\frac{6 x - 12 - 5 (x + 3)}{3}$

Apply the distributive property.

$\frac{6 x - 12 - 5 x - 5 \cdot 3}{3}$

Multiply $- 5$ by $3$ .

$\frac{6 x - 12 - 5 x - 15}{3}$

Subtract $5 x$ from $6 x$ .

$\frac{x - 12 - 15}{3}$

Subtract $15$ from $- 12$ .

$\frac{x - 27}{3}$

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