Simplify 2x+3(x-2)-3(x-6)

$2 x + 3 (x - 2) - 3 (x - 6)$

Step 1

Simplify each term.

Apply the distributive property.

$2 x + 3 x + 3 \cdot - 2 - 3 (x - 6)$

Multiply $3$ by $- 2$ .

$2 x + 3 x - 6 - 3 (x - 6)$

Apply the distributive property.

$2 x + 3 x - 6 - 3 x - 3 \cdot - 6$

Multiply $- 3$ by $- 6$ .

$2 x + 3 x - 6 - 3 x + 18$

Step 2

Simplify by adding terms.

Combine the opposite terms in $2 x + 3 x - 6 - 3 x + 18$ .

Subtract $3 x$ from $3 x$ .

$2 x + 0 - 6 + 18$

Add $2 x$ and $0$ .

$2 x - 6 + 18$

Add $- 6$ and $18$ .

$2 x + 12$