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

1. 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

-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