Which expression is equivalent to 17x+10−3(2x+1)

Question

?(1 point)
Responses

23x−7
23 x minus 7

11x+7
11 x plus 7

23x−9
23 x minus 9

11x−9

Answer 1

To simplify the expression \( 17x + 10 - 3(2x + 1) \), we will follow these steps:

1. Distribute \(-3\) across the terms inside the parentheses: \[ -3(2x + 1) = -3 \cdot 2x - 3 \cdot 1 = -6x - 3 \]

2. Substitute this back into the original expression: \[ 17x + 10 - 6x - 3 \]

3. Combine like terms (the \(x\) terms and the constant terms):

   • For the \(x\) terms: \(17x - 6x = 11x\)
   • For the constant terms: \(10 - 3 = 7\)

4. Therefore, the expression simplifies to: \[ 11x + 7 \]

So, the equivalent expression is \( \boxed{11x + 7} \).