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1 vote
Eight times the sum of 8 and some number is 17. What is the number?

2 Answers

3 votes
8(8+x) = 17
64 + 8x = 16
- 64 - 64
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8x = -48
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8 8

x = -6
User Joe Saunders
by
7.9k points
6 votes
Edited answer: The number is: "- 6" .
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8 (8 + x) = 16 ;

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit: 64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit: 64 + 8x − 64 = 16 − 64 ;

to get: 8x = - 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; and to solve for "x" ;

Edit: 8x / 8 = -48 / 8 ;

Edit: x = - 6 .
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The number is: "- 6" .
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 Let us check our answer, by plugging in "-6" for "x" in the original equation:
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8 (8 + x) = 16 ;

→ 8 [8 + (-6) ] =? 16 ?? ;

→ 8 (8 − 6 ) =? 16 ?? ;

→ 8 (2) =? 16 ?? ;

→ 16 = ? 16 ?? Yes!
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User Sgoettschkes
by
8.7k points