Mathematics

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Linear inequality, 2x+6 < 5(x-3)

  • Mathematics -

    2x+6 < 5(x-3) distribute 5 into x-3
    2x+6 < 5x-15 move all x to one side
    6 < 5x-15-2x simplify
    6 < 3x-15 move 15 to other side
    6+15 < 3x simplify
    21 < 3x get x alone by dividing 3 on both sides
    21/3 < 3x/3 simplify
    7 < x and that's how you solve it.

  • Mathematics -

    2x + 6 < 5x -15

    Add 15 and subtract 2x from both sides.

    21 < 3x

    Divide both sides by 3.

    7 < x

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