Question 597301
Good work, but I interpret it slightly differently.
The number increased by 25 should be {{{x+25}}} as you wrote.
The sum of the number and 1 is {{{x+1}}}, and doubling that sum would be multiplying it times 2 as in
{{{2(x+1)}}}
Those brackets are necessary if we are doubling the sum.
{{{2x+1}}} is doubling the number and then adding 1, and it's not the same.
The way I read it, you get
{{{x+25=2(x+1)}}}
To solve it, my first step would be to calculate that doubling of the sum (distributive property) to get
{{{x+25=2x+2}}}
The rest is like you did.
I would subtract 2 from both sides to get
{{{x+23=2x}}}, and subtracting x from both sides I get
{{{highlight(x=23)}}}