Simplify 4x+6(3x−2)

Question

(1 point)
Responses

10x−12
10 x minus 12

18x−2
18 x minus 2

22x−2
22 x minus 2

22x−12

Answer 1

To simplify the expression \( 4x + 6(3x - 2) \), follow these steps:

1. Distribute the \( 6 \) across the \( (3x - 2) \): \[ 6(3x - 2) = 6 \cdot 3x - 6 \cdot 2 = 18x - 12 \]

2. Now, substitute this back into the original expression: \[ 4x + 18x - 12 \]

3. Combine like terms: \[ (4x + 18x) - 12 = 22x - 12 \]

Thus, the simplified expression is \( 22x - 12 \).

The correct response is: 22x−12.