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

Mathematics

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Answer

7x + 12

Step-by-step solution

2 steps

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

    5(x+4)+2(x−4)=(5⋅x+5⋅4)+(2⋅x+2⋅(−4))5(x+4) + 2(x-4) = (5 \cdot x + 5 \cdot 4) + (2 \cdot x + 2 \cdot (-4)) =5x+20+2x−8= 5x + 20 + 2x - 8

  2. Combine the like terms.

    Group the xx terms and the constant terms.

    (5x+2x)+(20−8)(5x + 2x) + (20 - 8) =7x+12= 7x + 12

    The expanded and simplified expression is:

    7x+127x + 12
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