Respuesta :
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
