SOLUTION: Twice the sum of a number and 8 is 40. Find the number

Question 126700: Twice the sum of a number and 8 is 40. Find the number
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
If X is the unknown number, then the sum of that number and 8 is represented as X + 8. And twice
the sum of the number and 8 is 2(x + 8). The problem tells you that this must equal 40.
In equation form this is:
.
2(X + 8) = 40
.
Multiply out the left side by multiplying 2 times each of the terms in parentheses to get:
.
2X + 16 = 40
.
Get rid of the 16 on the left side by subtracting 16 from both sides to get:
.
2X = 24
.
Solve for X by dividing both sides of this equation by 2 and you have that X, the unknown
number, is:
.
X = 24/2 = 12
.
Check: Does twice the sum of 12 and 8 = 40??? 12 + 8 equals 20 and twice 20 is, in fact,
40. So the answer checks. X = 12 is the answer.
.
Hope this helps you to understand the problem.
.

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