SOLUTION: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number? What I've done: Let x be a number. X + 25 = 2x + 1 (su

Question 597301: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number?
What I've done:
Let x be a number.
X + 25 = 2x + 1
(subtract 1 from both sides)
x + 24 = 2x
(subtract x from both sides)
24 = x
The number is 24.
Is this correct?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Good work, but I interpret it slightly differently.
The number increased by 25 should be as you wrote.
The sum of the number and 1 is , and doubling that sum would be multiplying it times 2 as in

Those brackets are necessary if we are doubling the sum.
is doubling the number and then adding 1, and it's not the same.
The way I read it, you get

To solve it, my first step would be to calculate that doubling of the sum (distributive property) to get

The rest is like you did.
I would subtract 2 from both sides to get
, and subtracting x from both sides I get

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