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30 December, 04:12

9 times a number increased by 8 is the same as 50 more than 2 times the number. find the number.

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  1. 30 December, 04:26
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    9x + 8 = 50 - 2x

    Simplifying

    9x + 8 = 50 + - 2x

    Reorder the terms:

    8 + 9x = 50 + - 2x

    Solving

    8 + 9x = 50 + - 2x

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Add '2x' to each side of the equation.

    8 + 9x + 2x = 50 + - 2x + 2x

    Combine like terms: 9x + 2x = 11x

    8 + 11x = 50 + - 2x + 2x

    Combine like terms: - 2x + 2x = 0

    8 + 11x = 50 + 0

    8 + 11x = 50

    Add '-8' to each side of the equation.

    8 + - 8 + 11x = 50 + - 8

    Combine like terms: 8 + - 8 = 0

    0 + 11x = 50 + - 8

    11x = 50 + - 8

    Combine like terms: 50 + - 8 = 42

    11x = 42

    Divide each side by '11'.

    x = 3.818181818

    Simplifying

    x = 3.818181818
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