Question

Select all expressions that are equivalent to 5x – 15 – 20x + 10.
A. 5x – ( 15 + 20x ) + 10
B. 5x + -15 + -20x + 10
C. 5 ( x-3 – 4x + 2 )
D. -5 ( -x + 3 + 4x + -2 )
E. -15x – 5
F. -5 ( 3x + 1 )

Answers

  1. [MA]:
    -5 (3 x + 1)
    The explanation:
    Simplify:
    (5 x – 20) + (10 – 15)
    Grouping like terms, 5 x – 20 x – 15 + 10 = (5 x – 20 x) + (10 – 15):
    (5 x – 20 x) + (10 – 15)
    5 x – 20 x = -15 x:
    – 15 x + (10 – 15)
    10 – 15  = -5:
    -5 – 15 x
    Factor: -5 out of -15 x – 5:
    Answer: -5 (3 x + 1)
    [Artsy}

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