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If 2 is added to a number and the sum is tripled, the result is 18 more than the number. Find the number.

1 Answer

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In this case, we are going to formulate an equation from the given statement. First we are told that 2 is added to a number that we are going to call x, then we can write:

x + 2

Then, we are told that this sum is tripled, that is we multiply the above expression by 3, then we get:

3(x + 2) = 3x + 6

And the above expression equals the number "x" plus 18, then we get:

3x + 6 = x + 18

From this expression, we can solve for x to get:

3x + 6 = x + 18

3x - x + 6 = x - x + 18

2x + 6 = 18

2x + 6 - 6 = 18 - 6

2x + 0 = 12

2x = 12

2x/2 = 12/2

x = 6

Then, the number is 6

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