Ten more than five times a number equals five more than ten times the number. What is the number?
I can call the number x and write the equation as 5x + 10 = 10x + 5. To solve for x, I can subtract 5x from both sides and get 10 = 5x + 5. Then I can subtract 5 from both sides and get 5 = 5x. Dividing both sides by 5, I get x = 1. To check my answer, I can plug it back into the original equation and see if it works. 5(1) + 10 = 10(1) + 5. 15 = 15. Yes, it works. 