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Simplify the expression: 7(x-5) + 4(x-2)

Mathematics

ScanSolve AI Answer

Answer

11x - 43

Step-by-step solution

2 steps

  1. Distribute the numbers outside the parentheses into the terms inside each parenthesis.

    7(x−5)+4(x−2)=(7⋅x+7⋅(−5))+(4⋅x+4⋅(−2))7(x-5) + 4(x-2) = (7 \cdot x + 7 \cdot (-5)) + (4 \cdot x + 4 \cdot (-2)) =7x−35+4x−8= 7x - 35 + 4x - 8

  2. Combine the like terms.

    Group the xx terms and the constant terms.

    (7x+4x)+(−35−8)(7x + 4x) + (-35 - 8) =11x−43= 11x - 43

    The expanded and simplified expression is:

    11x−4311x - 43
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