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25 August, 12:56

Describe the steps used to find the value of x in the equation x + (2x + 40) + (3x - 50) = 15,002.

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  1. 25 August, 13:08
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    case a)

    we have that

    x + (2x + 40) + (3x - 50) = 15,002

    Reorder the terms:

    (x+2x+3x) + (40-50) = 15,002

    Combine like terms:

    x+2x+3x=6x

    40-50=-10

    6x-10=15,002

    adds + 10 both sides

    6x-10+10=15,002+10

    Combine like terms:

    -10+10=0

    15,002+10=15,012

    6x=15,012

    divide by 6 both sides

    x=15,012/6

    x=2,502

    the answer is

    x=2,502

    case b)

    we have that

    X + (2x + 40) + (3x - 50) = 15,002

    Reorder the terms:

    X + (40 + 2x) + (3x + - 50) = 15002

    Remove parenthesis around (40 + 2x)

    X + 40 + 2x + (3x + - 50) = 15002

    Reorder the terms:

    X + 40 + 2x + (-50 + 3x) = 15002

    Remove parenthesis around (-50 + 3x)

    X + 40 + 2x + - 50 + 3x = 15002

    Reorder the terms:

    40 + - 50 + X + 2x + 3x = 15002

    Combine like terms:

    40 + - 50 = - 10

    -10 + X + 2x + 3x = 15002

    Combine like terms:

    2x + 3x = 5x

    -10 + X + 5x = 15002

    Solving

    -10 + X + 5x = 15002

    Solving for variable 'X'

    . Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation.

    -10 + X + 10 + 5x = 15002 + 10

    Reorder the terms:

    -10 + 10 + X + 5x = 15002 + 10

    Combine like terms:

    -10 + 10 = 0

    0 + X + 5x = 15002 + 10

    X + 5x = 15002 + 10

    Combine like terms:

    15002 + 10 = 15012

    X + 5x = 15012

    Add '-5x' to each side of the equation.

    X + 5x + - 5x = 15012 + - 5x

    Combine like terms:

    5x + - 5x = 0

    X + 0 = 15012 + - 5x

    X = 15012 + - 5x

    Simplifying

    X = 15012 + - 5x

    the answer is

    X=15,012-5x
  2. 25 August, 16:13
    0
    Sample Response: First, combine like terms by combining the variables and constants. Then use properties of equality to isolate the variable and find the value for x.
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