Break the sentence down into pieces.
First, let the variable n represent “a number” in the question description.
Whenever you see the word “is” that translates to an equals sign or “=“.
If we replace these in our question, we now have the question “n increased by 7 = 2 times the sum of n and 2.
The phrases “increased by” and “the sum of” both translate to a plus sign. We’ll group with parenthesis to make sure we preserve the addition of the number and the variable once we start solving the problem.
Now we have the sentence
”n+7=2 times (n + 2)”
Finally, times is translated to a multiplication sign.
Now we can go ahead and solve.
The first step is to isolate the variable. To do this we need to start by multiplying out the 2 on the right hand side of the equation. We are left with
n+7=2n + 4
Next we’ll subtract n from both sides of the equation to move the n’s to the right hand side of the equation.
This gives us
7=n + 4
now we’ll subtract 4 from both sides of the equation to get 3=n or n=3, which is our final answer!