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

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $2$ by $5$ .

$\frac{10 x + 5 \cdot - 3 - 3 (x + 4)}{9}$

Step 3

Multiply $5$ by $- 3$ .

$\frac{10 x - 15 - 3 (x + 4)}{9}$

Step 4

Apply the distributive property.

$\frac{10 x - 15 - 3 x - 3 \cdot 4}{9}$

Step 5

Multiply $- 3$ by $4$ .

$\frac{10 x - 15 - 3 x - 12}{9}$

Step 6

Subtract $3 x$ from $10 x$ .

$\frac{7 x - 15 - 12}{9}$

Step 7

Subtract $12$ from $- 15$ .

$\frac{7 x - 27}{9}$

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