Simplify the expression 4(x + 3) – 5(x – 2).

Question

–x + 22
–9x + 22
x – 22
–x – 22

Answer 1

To simplify the expression \( 4(x + 3) - 5(x - 2) \), we can start by distributing the constants into the parentheses.

1. Distribute \( 4 \) in \( 4(x + 3) \): \[ 4 \cdot x + 4 \cdot 3 = 4x + 12 \]

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

3. Now we combine the results: \[ 4x + 12 - 5x + 10 \]

4. Combine like terms: \[ (4x - 5x) + (12 + 10) = -x + 22 \]

Thus, the simplified expression is: \[ -x + 22 \]

So the correct answer is \(-x + 22\).