Questions: Simplify the following expression. -4(x-2)+3(x+2) -x+14 7 x-6 7 x+4 -x-2

Transcript text: Simplify the following expression. \[ -4(x-2)+3(x+2) \] $-x+14$ $7 x-6$ $7 x+4$ $-x-2$

Solution

Solution Steps

To simplify the given expression $-4(x-2)+3(x+2)$, we need to distribute the constants $-4$ and $3$ to the terms inside the parentheses and then combine like terms.

Step 1: Distribute the Constants

First, distribute $-4$ to each term inside the parentheses $(x - 2)$ and $3$ to each term inside the parentheses $(x + 2)$: \[ -4(x - 2) + 3(x + 2) = -4x + 8 + 3x + 6 \]

Step 2: Combine Like Terms

Next, combine the like terms: \[ -4x + 3x + 8 + 6 = -x + 14 \]