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} © Algebra House
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