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Simplify the expression 3(2x-4) + 2(x+5) and choose the correct option.

Mathematics

ScanSolve AI Answer

Answer

B

Step-by-step solution

2 steps
  1. Distribute the numbers into the parentheses.

    3(2x−4)+2(x+5)=(3×2x)−(3×4)+(2×x)+(2×5)3(2x-4) + 2(x+5) = (3 \times 2x) - (3 \times 4) + (2 \times x) + (2 \times 5) =6x−12+2x+10= 6x - 12 + 2x + 10
  2. Combine like terms (terms with xx and constant terms).

    =(6x+2x)+(−12+10)= (6x + 2x) + (-12 + 10) =8x−2= 8x - 2

    Comparing this result with the given options:
    A. 7x−27x-2
    B. 8x−28x-2
    C. 8x+28x+2
    D. 7x+27x+2

    The correct option is B.

    The final answer is B. 8x−2\boxed{\text{B. } 8x-2}.

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