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5 December, 09:16

Solve - 2x+3=-3x+2 and is it no solution

One solution or infinitely many solutions.

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Answers (2)
  1. 5 December, 09:51
    0
    Subract 2 from bothsides to get - 2x + 1 = - 3x

    Add 2x to both sides to get 1 = - 1x

    Divide both sides to get - 1 = x

    Since the values aren't the same (like, it doesn't say - 1 = - 1 or x = x), it isn't infinite. It doesn't say 0=x so it's not no solution.

    This means that it's one solution because only one value can equal x
  2. 5 December, 11:48
    0
    Answer is = -1

    implifying

    -2x + 3 = - 3x + 2

    Reorder the terms:

    3 + - 2x = - 3x + 2

    Reorder the terms:

    3 + - 2x = 2 + - 3x

    Solving

    3 + - 2x = 2 + - 3x

    Solving for variable 'x'.

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

    Add '3x' to each side of the equation.

    3 + - 2x + 3x = 2 + - 3x + 3x

    Combine like terms: - 2x + 3x = 1x

    3 + 1x = 2 + - 3x + 3x

    Combine like terms: - 3x + 3x = 0

    3 + 1x = 2 + 0

    3 + 1x = 2

    Add '-3' to each side of the equation.

    3 + - 3 + 1x = 2 + - 3

    Combine like terms: 3 + - 3 = 0

    0 + 1x = 2 + - 3

    1x = 2 + - 3

    Combine like terms: 2 + - 3 = - 1

    1x = - 1

    Divide each side by '1'.

    x = - 1

    Simplifying

    x = - 1
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