Simplify the expression. (1 point)

Question

3(2x+6)−2(4x−5)=
3
(
2
𝑥
+
6
)
−
2
(
4
𝑥
−
5
)
=

Check Answer

Answer 1

To simplify the expression \( 3(2x + 6) - 2(4x - 5) \), we will follow the steps of distributing, combining like terms, and simplifying.

1. Distribute \( 3 \) into \( (2x + 6) \): \[ 3 \cdot 2x + 3 \cdot 6 = 6x + 18 \]

2. Distribute \( -2 \) into \( (4x - 5) \): \[ -2 \cdot 4x + (-2) \cdot -5 = -8x + 10 \]

3. Now, substitute the distributed terms back into the expression: \[ 6x + 18 - 8x + 10 \]

4. Combine like terms (combine \( 6x \) and \( -8x \), and combine \( 18 \) and \( 10 \)): \[ (6x - 8x) + (18 + 10) = -2x + 28 \]

So, the simplified expression is: \[ -2x + 28 \]

Thus the final answer is: \[ \boxed{-2x + 28} \]