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

## Answers ( )

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

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