Simplify (5(x-3)-3(2x+4))/9

$\frac{5 (x - 3) - 3 (2 x + 4)}{9}$

Step 1

Simplify the numerator.

Apply the distributive property.

$\frac{5 x + 5 \cdot - 3 - 3 (2 x + 4)}{9}$

Multiply $5$ by $- 3$ .

$\frac{5 x - 15 - 3 (2 x + 4)}{9}$

Apply the distributive property.

$\frac{5 x - 15 - 3 (2 x) - 3 \cdot 4}{9}$

Multiply $2$ by $- 3$ .

$\frac{5 x - 15 - 6 x - 3 \cdot 4}{9}$

Multiply $- 3$ by $4$ .

$\frac{5 x - 15 - 6 x - 12}{9}$

Subtract $6 x$ from $5 x$ .

$\frac{- x - 15 - 12}{9}$

Subtract $12$ from $- 15$ .

$\frac{- x - 27}{9}$

$\frac{- x - 27}{9}$

Step 2

Simplify with factoring out.

Factor $- 1$ out of $- x$ .

$\frac{- (x) - 27}{9}$

Rewrite $- 27$ as $- 1 (27)$ .

$\frac{- (x) - 1 (27)}{9}$

Factor $- 1$ out of $- (x) - 1 (27)$ .

$\frac{- (x + 27)}{9}$

Simplify the expression.

Rewrite $- (x + 27)$ as $- 1 (x + 27)$ .

$\frac{- 1 (x + 27)}{9}$

Move the negative in front of the fraction.

$- \frac{x + 27}{9}$

$- \frac{x + 27}{9}$

$- \frac{x + 27}{9}$

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