Twice the sum of a number and 5 is equal to three times the difference of the number and 9.

Find the number.

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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