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8 November, 02:48

The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4) + 4=5x-4) + 4 also has the solution set {4}

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  1. 8 November, 03:12
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    Notice that the terms in parentheses on both sides of the equation are added to 4.

    (3x + 4) + 4 = (5x - 4) + 4

    So we can set the equation as.

    3x + 4 = 5x - 4

    Subtract 3x on both sides of equation.

    4 = 2x - 4

    Add 4 on both sides of equation.

    8 = 2x

    Divide both sides of equation by 2.

    4 = x

    4 is the only value that satisfies the statement.
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