Question

simplify the expression: 2(4x + 3) - 3(2x - 1)
options:

1. 2x + 9
2. 4x + 7
3. 6x + 5
4. 8x + 6

Explanation:

Step1: Apply distributive property

First, distribute the 2 and -3 into the parentheses:
$2(4x + 3) = 2\times4x + 2\times3 = 8x + 6$
$-3(2x - 1) = -3\times2x - 3\times(-1) = -6x + 3$

Step2: Combine like terms

Now, combine the resulting terms:
$(8x + 6) + (-6x + 3) = (8x - 6x) + (6 + 3) = 2x + 9$

Answer:

A. \( 2x + 9 \)