Answered

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If 5 is added to a number and the sum is doubled, the result is 7 less than the number. What is the number?

Sagot :

marcthemathtutor

Answer:

x = -17

Step-by-step explanation:

let the number be x

Lets break the statement up into steps:

"5 is added to a number" ---> x + 5

"and the sum is doubled" ---> 2 (x + 5)  this is "the result as stated in the question"

"7 less than the number" ----> x - 7

hence,

"the result is 7 less than the number" -----> 2 (x + 5) = x - 7

we simply solve for x

2 (x + 5) = x - 7

2x + 10 = x - 7    (subtract x from both sides)

2x + 10 - x = -7

x + 10 = -7    (subtract 10 from both sides)

x = -7 - 10

x = -17

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