If this is equal to that, anything we do to that, we also have to do to this. So you subtract 2 from the right, subtract 2 from the left, and we get, on the left-hand side, negative 16 minus 2 is negative 18. And then we have positive 2 minus 2, which is just going to be 0, so we don't even have to write that.
I could write just a plus 0, but I think that's a little unnecessary. And our whole goal here is to isolate the x, to solve for the x.
Anything you do to the right-hand side, you have to do to the left-hand side, and vice versa. So the original equation was negative 16 is equal to-- instead of writing x, I'm going to write negative 72-- is equal to negative 72 over 4 plus 2. So this right-hand side simplifies to negative 72 divided by 4.
So if we multiply the right-hand side by 4, we also have to multiply the left-hand side by 4.
And the best way to get rid of that 2 is to subtract it.
But if we want to subtract it from the right-hand side, we also have to subtract it from the left-hand side, because this is an equation.
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Wolfram|Alpha shows how to solve this equation by completing the square and then solving for Wolfram|Alpha can demonstrate step-by-step solutions over a wide range of problems.
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