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."


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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