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amid [387]
2 years ago
9

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

Mathematics
2 answers:
wel2 years ago
3 0

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

MrMuchimi2 years ago
3 0

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:

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


Simplifying the equation,

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


Collecting all terms containing x on one side,

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


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


\[=> x=-18\]


Hence the required number is -18

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