Iam thinking of a number. i multiply it by 2 and add 22. i get the same answer if i multiply by 4 and subtract 10. what is my number?

Remember you can do anything to an equaton as long as you do it to boht sides

so represent the number as n
n times 2 and add 22
2n+22
I get the same result when I multipily n by 4 and subtract 10
2n+22=4n-10
now solve
2n+22=4n-10
we can divide everybody by 2
n+11=2n-5
isolate the placeholder
subtract n from both sides
11=n-5
add 5 to both sides
16=n