10) If ten is added to four times a certain number, the sum is four less than five times the number. Find the number.​

10) If ten is added to four times a certain number, the sum is four less than five times the number. Find the number.​

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  1. Answer:

    x = 14

    Step-by-step explanation:

    let the number be x.

    • 4 times the number = 4x
    • 10 added to 4 times the number = 4x + 10

    now,

    • 5 times the number = 5x
    • 4 less than 5 times the number = 5x – 4

    Given that,

    4x + 10 = 5x – 4

    moving all x terms to the LHS and the constants to the RHS

    4x – 5x = -4 – 10

    -x = -14

    dividing both sides by -1

    x = 14

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