Hi I'm new to the boards and wondering if anyone can help me wrap my head around the steps it takes to solve this basic question, I believe I have it right but I just want to be sure I haven't just stumbled upon a pattern to solve this question.

1/x+2 = 5

So you could say 1 = 5(x+2) = 5x + 10

x = -9/5?

Is this correct? Since I've found -9 by solving, what number +10 would equal 1?