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Current time:0:00Total duration:1:54

Video transcript

below are the steps Stephan use to correctly solve the equation 6x is equal to 3 times X plus 4 for X step 1 is missing what could Steven have written for step 1 so let's see so this is the original equation we they give us a blank for step 1 and then we see that he eventually gets to 3x equals 12 that he divides both sides by 3 and he gets 2x equals 4 so the best way I could think about doing this is just think well what would I do well if I saw something like this my instinct would be to distribute this 3 so that I could start so I can start separating the the parts of this expression that have a variable that have the X and the parts that are constant so let's let's try to distribute this 3 and see what we get and see if that's a reasonable step for the direction that Steven went in so if we do that we would get 6x is equal to we haven't changed the left-hand side and the right-hand side 3 times X is 3x and then 3 times 4 is 12 so you get 6x is equal to 3x plus 12 now if I were to just if I don't even look at what Stephens doing right over here if if I'm trying to solve for X what would be the next thing that I would do well I would try to isolate all of the X's on one side and if I want all the X's on the left-hand side I would subtract 3x from both sides and so if you subtract 3x from both sides if you subtract 3x from both sides you would then get Stevens second step right over here so this looks like so this looks like a completely reasonable first step for Steven the first step is he distributes the 3 to get this expression then he subtracts 3x from both sides to get 3x is equal to 12 and then he divides both sides by 3 to get X is equal to 4