Mathematics

Question

Solve for x. 2x + 5 = 27 What is the answer? A8.5 B11 C16 D64


14 POINTS

2 Answer

  • Simplifying 2x + 5 = 27

    Reorder the terms: 5 + 2x = 27

    Solving 5 + 2x = 27


    Solving for variable 'x'.

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

    Add '-5' to each side of the equation. 5 + -5 + 2x = 27 + -5


    Combine like terms: 5 + -5 = 0
    0 + 2x = 27 + -5
    2x = 27 + -5

    Combine like terms: 27 + -5 = 22
    2x = 22

    Divide each side by '2'.
    x = 11

    Simplifying x = 11

    Your answer is 11 or B

    Hope I helped you today :)
  • You can use the fact that adding, subtracting, dividing or multiplying same thing on both side doesn't effect equality,

    The value of x is given by;

    Option B: 11

    How to find the value of unknown variable x?

    In the given case, you need to make such equation, so that value x is on one side, and constants are on other side, so that you get value of x.

    There are two steps for it.

    • First remove 5 from left side to right side. For that we need to subtract 5 from both the sides to maintain equality.

    Thus,

    [tex]2x + 5 = 27\\\text{Subtracting 5 from both the sides}\\2x + 5 - 5 = 27-5\\2x = 22\\[/tex]

    • Now we need to remove 2, for that we will divide both sides by 2.

    Thus,

    [tex]2x = 22\\\text{Dividing both sides by 2}\\\\\dfrac{2x}{2} = \dfrac{22}{2}\\\\x = 11[/tex]

    Thus, the value of x is 11 for which the equation remains true. Such values of variables for which equation of such variable stays true, are called solutions to such equations with those unknown variables which are now known.

    The value of x is given by;

    Option B: 11

    Learn more about solving equations here;

    https://brainly.com/question/6196569

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