Ronnie is thinking of a number. he says that he gets the same result when he multiplies by his number by 2 as when he adds 5 to his number. what is his number?

Let's say Ronnie is thinking of X.

If 2(x) = x+5, we would first distribute the 2.

2x = x+5

We would then need to isolate the variable. We would do so by getting all variables to one side. The easier choice would be to subtract x from both sides.

2x=x+5
-1x -1x

This becomes

x=5

Ronnie is thinking of the number five.

5•2=10 and 5+5=10.