2(5x-7)-3 (4x +8 )

Mathematics

ScanSolve AI Answer

Answer

-2x - 38

Step-by-step solution

5 steps

To simplify the expression 2(5x−7)−3(4x+8)2(5x-7)-3(4x+8), distribute the coefficients into the parentheses and then combine like terms.

  1. Distribute the coefficients

    2(5x−7)=2×5x−2×7=10x−142(5x-7) = 2 \times 5x - 2 \times 7 = 10x - 14 −3(4x+8)=−3×4x−3×8=−12x−24-3(4x+8) = -3 \times 4x - 3 \times 8 = -12x - 24
  2. Combine the distributed terms

    (10x−14)+(−12x−24)(10x - 14) + (-12x - 24) 10x−14−12x−2410x - 14 - 12x - 24
  3. Group like terms

    (10x−12x)+(−14−24)(10x - 12x) + (-14 - 24)
  4. Combine like terms

    (10x−12x)=−2x(10x - 12x) = -2x (−14−24)=−38(-14 - 24) = -38
  5. Write the simplified expression

    −2x−38-2x - 38
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