SOLUTION: twice the sum of a number and 5 is equal to three times the difference of the number and 9. find the number.

Question 417962: twice the sum of a number and 5 is equal to three times the difference of the number and 9. find the number.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"twice the sum of a number and 5 is equal to three times the difference of the number and 9. find the number."

x = the number

2(x + 5) = "twice the sum of a number and 5"
3(x - 9) = "three times the difference of the number and 9"

2(x + 5) = 3(x - 9) {formed equation, based on wording}
2x + 10 = 3x - 27 {used distributive property}
10 = x - 27 {subtracted 2x from both sides}
x = 37 {added 27 to both sides}
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