The difference of a number and six is the same as five times the sum of the number and two what is the number

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asked Feb 10, 2021 29.3k views

5 votes

The difference of a number and six is the same as five times the sum of the number and two what is the number

Mathematics
high-school

Jraede asked

by Jraede

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1 Answer

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Answer:

x = - 15

Explanation:

$x - 6 = 5(x + 6) \\ = x - 6 = 5x + 30(open \: the \: bracket) \\ = collect \: like \: terms \\ = x - 5x = 30 + 6 \\ = - 4x = 36 \\ divide \: by \: the \: coefficient \: of \: x = - 4 \\ = - 15$

Jason Yost answered Feb 13, 2021

by Jason Yost

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