Learnt Math Tutor Anthony F Shows How To Solve Basic Algebra Equations

This is a problem I did with my student yesterday. The problem reads, W plus three, parenthesis two plus one equals 20.

And what we are trying to do here is solve for W. So the first thing that we do, we have to remember PEMDAS, which is a parenthesis, exponent, multiplication, and division addition and subtraction. And so here we see that there is a parenthesis. So we start with what's inside the parenthesis, two plus one, so two plus one equals three. And I'm gonna write out the rest of the equation as well. So now we have w plus three times three equals 20.

So the next thing that we do with PDOs, we go to multiplication cuz there are no exponents. So we do three times three and I will rewrite the equation again. Three times three equals nine. So now we have w plus nine equals 20. Speaker 1:        And we remember the main thing that we're trying to achieve is finding out what W equals. And to do that W has to be alone by itself without any other numbers or anything. So right now we have w plus nine equals 20. And what we wanna do is we wanna get rid of the nine.

So then W will be by itself to get rid of the nine. Since we're adding it on this side, we wanna subtract it and by subtracting nine on this side we will reach zero. But remember what we do to this side, we have to do to this side. So we're subtracting nine here. We have to subtract nine from the other side as well. So nine minus nine equals zero, so that cancels itself out. And then 20 minus nine equals 11 like so. And now we know that W is by itself. So W equals 11. And I'll write that out just to simplify it. W equals 11 and there you have it. W equals 11.