SOLUTION: half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18. find the number

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Question 186684: half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18. find the number
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18" translates to 3%2826-%281%2F2%29x%29=18



3%2826-%281%2F2%29x%29=18 Start with the given equation.


26-%281%2F2%29x=18%2F3 Divide both sides by 3.


26-%281%2F2%29x=6 Reduce


-%281%2F2%29x=6-26 Subtract 26 from both sides.


-%281%2F2%29x=-20 Combine like terms.


x=-20%28-2%29 Multiply both sides by -2.


x=40 Multiply


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Answer:

So the solution is x=40 which means that the number is 40