![]() We're going to remove 2 x's from the left-hand side. Subtracting 2x from both sides of the equation. Operations, you will eventually get the right answer. Because then you'd haveĥ x's minus the 2 x's. So, how could we do that? Well, there's two The x's on the same side of the equation. So minus 2, we could writeĪs - so let me do this in a different color, You can actually visualize what this equation is saying. You would just have toĭo the algebraic steps. Have to do it this way when you're solving the problem. ![]() ![]() So that's equal to plusġ, plus 1, plus 1. Happening, it'll actually be common sense what's allowed. And I forgot whether this is aĪllowed or that isn't allowed. Say, oh what are the rules or the steps of solving equations. But while we do those, IĪctually want to visualize what's occurring. You can actually go back andĬheck whether that works, So what we're going to do is justĭo a bunch of operations on both sides of the equation, To remember is, we just want to isolate an x. How do you solve it? And we'll do it in aĬouple of different ways. ![]() Plus 3, 2x plus 3 is equal to is equal to 5x minus 2. It's pretty easy to make that mistake when you group terms like that. I think it helps not to forget about that as you are trying to group the terms together. I got slightly screwed up as I was trying to type this up, and that was because I had forgotten about the + 3 on the left side pretty early. That's the whole point in multiplying by -1, that we'll get positive numbers instead of negative numbers, and the equation is still valid because we'll be doing it to both sides. Now, I don't like having negative numbers in my equations, and since both sides are negative, I'll multiply both sides by -1 to convert these to positive numbers. Subtracting a positive number from a negative numbers makes that number more negative. Then the -2 on the right side becomes a -5. We have the "+ 3" on the left side that can be eliminated there. The next thing we can do is subtract 3 from both sides. The 5x - 5x part cancels out, leaving just a -2 for the right hand side. For the right hand side, you have 5x - 5x - 2. On the left side, you have 2x - 5x, which is -3x, and then you have that + 3, so you have -3x + 3 for the left hand side. He actually subtracts 2x, but when you subtract 5x from both sides, you have: At that point in the video, his equation is 2x + 3 = 5x - 2.
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