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25 July, 11:13

How many solutions does the following equation have? 5x+8-7x=-4x+1

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  1. 25 July, 13:26
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    Simplifying

    5x + 8 + - 7x = - 4x + 1

    Reorder the terms:

    8 + 5x + - 7x = - 4x + 1

    Combine like terms: 5x + - 7x = - 2x

    8 + - 2x = - 4x + 1

    Reorder the terms:

    8 + - 2x = 1 + - 4x

    Solving

    8 + - 2x = 1 + - 4x

    Solving for variable 'x'.

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

    Add '4x' to each side of the equation.

    8 + - 2x + 4x = 1 + - 4x + 4x

    Combine like terms: - 2x + 4x = 2x

    8 + 2x = 1 + - 4x + 4x

    Combine like terms: - 4x + 4x = 0

    8 + 2x = 1 + 0

    8 + 2x = 1

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

    8 + - 8 + 2x = 1 + - 8

    Combine like terms: 8 + - 8 = 0

    0 + 2x = 1 + - 8

    2x = 1 + - 8

    Combine like terms: 1 + - 8 = - 7

    2x = - 7

    Divide each side by '2'.

    x = - 3.5

    Simplifying

    x = - 3.5
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