Which algebraic expression is equivalent to this expression? (3x+12)+(7x-5) A. 10x + 17 B. 15x - 2 C. 22x -

1 answer

To simplify the expression \((3x+12)+(7x-5)\), we can follow these steps:

  1. Remove the parentheses: \[ 3x + 12 + 7x - 5 \]

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

    • For the \(x\) terms: \(3x + 7x = 10x\)
    • For the constant terms: \(12 - 5 = 7\)

Putting it all together, we have: \[ 10x + 7 \]

Therefore, none of the provided options: A. \(10x + 17\), B. \(15x - 2\), C. \(22x -\) match the simplified expression \(10x + 7\). Please check the options again as there may be an error.