What is the number?

A number is tripled and then 7 is added to the result. The final answer is the same as if the number were doubled and then 13 was added.
What is the number?

Comments

  1. Let the number be x.

    Tripled and add 7:
    3x + 7

    Doubled and add 13:
    2x + 13

    Now set the two expressions equal:

    3x + 7 = 2x + 13

    Step 1: Subtract 2x from both sides:

    x + 7 = 13

    Step 2: Subtract 7 from both sides:

    x = 6

    Final Answer:
    The number is 6.

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