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