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2 April, 06:48

5 (2^ (2x+7)) How do you solve this equation?

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  1. 2 April, 07:04
    0
    Simplifying

    0x + 7 + 5x = 2x + 30 + 40

    Anything times zero is zero.

    0x + 7 + 5x = 2x + 30 + 40

    Combine like terms: 0 + 7 = 7

    7 + 5x = 2x + 30 + 40

    Reorder the terms:

    7 + 5x = 30 + 40 + 2x

    Combine like terms: 30 + 40 = 70

    7 + 5x = 70 + 2x

    Solving

    7 + 5x = 70 + 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.

    7 + 5x + - 2x = 70 + 2x + - 2x

    Combine like terms: 5x + - 2x = 3x

    7 + 3x = 70 + 2x + - 2x

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

    7 + 3x = 70 + 0

    7 + 3x = 70

    Add '-7' to each side of the equation.

    7 + - 7 + 3x = 70 + - 7

    Combine like terms: 7 + - 7 = 0

    0 + 3x = 70 + - 7

    3x = 70 + - 7

    Combine like terms: 70 + - 7 = 63

    3x = 63

    Divide each side by '3'.

    x = 21

    Simplifying

    x = 21
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