SOLUTION: if the sum of 4 times a number and 6 is multiplied by 3 the result is 5 greater than the opposite of the number. find the number <br>Let n = 'a number'<br> sum means + and time

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Question 680549: if the sum of 4 times a number and 6 is multiplied by 3 the result is 5 greater than the opposite of the number. find the number

Let n = 'a number'

sum means + and times means multiply
is means =
and opposite mean negative
greater means +

so the algebraic equation that those words make are:


3(4n+6)=-n+5

12n+18=-n+5
12n+18-18=-n+5-18
12n=-n-13
12n+n=n-n-13
13n=-13
13n/13=-13/13
n=-1

Therefore the number is -1.


Hope that helps, Happy Calculating!
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