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17 March, 15:58

What is the value of c in the equation 2 (x-3) + 9=3 (x+1) + x

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Answers (2)
  1. 17 March, 17:04
    0
    x = 0 (I must assume you had a typo since c is not a variable in this equation!

    Step-by-step explanation:

    Solve for x:

    2 (x - 3) + 9 = 3 (x + 1) + x

    2 (x - 3) = 2 x - 6:

    2 x - 6 + 9 = 3 (x + 1) + x

    Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):

    2 x + (-6 + 9) = 3 (x + 1) + x

    9 - 6 = 3:

    2 x + 3 = 3 (x + 1) + x

    3 (x + 1) = 3 x + 3:

    2 x + 3 = 3 x + 3 + x

    Grouping like terms, 3 x + x + 3 = (3 x + x) + 3:

    2 x + 3 = (3 x + x) + 3

    3 x + x = 4 x:

    2 x + 3 = 4 x + 3

    Subtract 4 x from both sides:

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

    2 x - 4 x = - 2 x:

    -2 x + 3 = (4 x - 4 x) + 3

    4 x - 4 x = 0:

    3 - 2 x = 3

    Subtract 3 from both sides:

    (3 - 3) - 2 x = 3 - 3

    3 - 3 = 0:

    -2 x = 3 - 3

    3 - 3 = 0:

    -2 x = 0

    Divide both sides of - 2 x = 0 by - 2:

    (-2 x) / (-2) = 0 / (-2)

    (-2) / (-2) = 1:

    x = 0 / (-2)

    0 / (-2) = 0:

    Answer: x = 0
  2. 17 March, 18:28
    0
    I am not sure if you mean x or c, but x would be equal to 0

    Step-by-step Explanation:

    Step 1: Simplify both sides of the equation.

    2 (x - 3) + 9 = 3 (x + 1) + x

    (2) (x) + (2) ( - 3) + 9 = (3) (x) + (3) (1) + x

    2x + - 6 + 9 = 3x + 3 + x

    (2x) + ( - 6 + 9) = (3x + x) + (3)

    2x + 3 = 4x + 3

    Step 2: Subtract 4x from both sides.

    2x + 3 - 4x = 4x + 3 - 4x

    - 2x + 3 = 3

    Step 3: Subtract 3 from both sides.

    - 2x + 3 - 3 = 3 - 3

    - 2x = 0

    Step 4: Divide both sides by - 2.

    - 2x / - 2 = 0 / - 2

    x = 0
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