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
