SOLUTION: Twice the sum of a number and 5 is equal to three times the difference of the number and 6. Can you help me find the number?

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Question 122886: Twice the sum of a number and 5 is equal to three times the difference of the number and 6. Can you help me find the number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If we translate the sentence "Twice the sum of a number and 5 is equal to three times the difference of the number and 6" we get the equation


2%28x%2B5%29=3%28x-6%29




2%28x%2B5%29=3%28x-6%29 Start with the given equation



2x%2B10=3x-18 Distribute


2x=3x-18-10Subtract 10 from both sides


2x-3x=-18-10 Subtract 3x from both sides


-x=-18-10 Combine like terms on the left side


-x=-28 Combine like terms on the right side


x=%28-28%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=28 Divide

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Answer:
So our answer is x=28



So our number is 28