Simplify (8x+12)+(-4)(2x+3)

$(8 x + 12) + (- 4) (2 x + 3)$

Step 1

Simplify each term.

Apply the distributive property.

$8 x + 12 - 4 (2 x) - 4 \cdot 3$

Multiply $2$ by $- 4$ .

$8 x + 12 - 8 x - 4 \cdot 3$

Multiply $- 4$ by $3$ .

$8 x + 12 - 8 x - 12$

Step 2

Combine the opposite terms in $8 x + 12 - 8 x - 12$ .

Subtract $8 x$ from $8 x$ .

$0 + 12 - 12$

Add $0$ and $12$ .

$12 - 12$

Subtract $12$ from $12$ .

$0$