If the sum of a number and seven is doubled, the result is four less than the number. Find the number.

Question

If the sum of a number and seven is doubled, the result is four less than the number. Find the number.

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Parker 4 months 2022-01-10T13:42:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-10T13:43:58+00:00

    Answer: the number is – 18

    Step-by-step explanation:

    Let the number be represented by x.

    If the sum of a number and seven is doubled, the result is four less than the number. The expression would be

    2(x + 7) = x – 4

    We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes

    2x + 14 = x – 4

    Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes

    2x + 14 – 14 – x =x – x – 4 – 14

    x = – 18

    0
    2022-01-10T13:44:08+00:00

    Answer:

    -18

    Step-by-step explanation:

    Let the number be x.

    Double the sum of number and seven is equal to four less than the number.

    Expressing it in equation form:

    [tex]\[2*(x+7)=x-4\]
    [/tex]

    Simplifying the equation,

    [tex]\[=> 2x+14=x-4\]
    [/tex]

    Collecting all terms containing x on one side,

    [tex]\[=> 2x-x=-14-4\]
    [/tex]

    [tex]\[=> (2-1)x=-18\]
    [/tex]

    [tex]\[=> x=-18\]
    [/tex]

    Hence the required number is -18

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