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?

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) (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

Start with the given equation

Distribute

Subtract 10 from both sides

Subtract 3x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by -1 to isolate x

Divide

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Answer:
So our answer is

So our number is 28
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