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3. What is the solution to the equation 5x + 7 + 2 x = 7 (2x + 3) - 63?

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Answers (2)
  1. Today, 11:42
    0
    x = 7

    Step-by-step explanation:

    5x+7+2x = 7 (2x+3) - 63

    Distribute into the parenthesis.

    5x+7+2x = 14x+21-63

    Add common multiples and constants.

    (5x+2x) + 7 = 14x + (21-63)

    7x+7 = 14x-42

    Move the variable to one side, to do that, subtract 7x to both sides.

    7x+7 = 14x-42

    -7x - 7x

    7 = 7x-42

    Add 42 to both sides.

    7 = 7x-42

    +42 + 42

    49 = 7x

    Now, divide both sides by 7 to isolate the variable.

    49 = 7x

    7 7

    x = 7
  2. Today, 12:06
    0
    Step-by-step explanation:

    5x+7+2x=7 (2x+3) - 63

    We move all terms to the left:

    5x+7+2x - (7 (2x+3) - 63) = 0

    We add all the numbers together, and all the variables

    7x - (7 (2x+3) - 63) + 7=0

    We calculate terms in parentheses: - (7 (2x+3) - 63), so:

    7 (2x+3) - 63

    We multiply parentheses

    14x+21-63

    We add all the numbers together, and all the variables

    14x-42

    Back to the equation:

    - (14x-42)

    We get rid of parentheses

    7x-14x+42+7=0

    We add all the numbers together, and all the variables

    -7x+49=0

    We move all terms containing x to the left, all other terms to the right

    -7x=-49

    x=-49/-7

    x=+7 - Answer
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