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# Describing steps when solving equations

## Video transcript

create a list of steps in order that will solve the following equation and it gives the equation here and then they have a bunch of steps that they want us to put in order so let's just work it out on this scratch pad you might be able to work these out in your head eventually but I'll do it on this scratch pad first so first I'm just gonna solve this the way that I might try to solve it so let's say we have 5x minus 11 is equal to 42 and as we've seen before whenever I like to solve something I like to isolate the variable that I'm trying to solve for so I want to isolate this 5x on one side and then eventually I'm gonna try to get that into being an X so the best way to get to isolate it is to get rid of this minus 11 well the best way to get this minus get rid of that minus 11 on the left hand side is to add 11 to the left hand side but I can't just do it only to the left hand side then these two things won't be equal anymore in order for them to both be equal I have to do the same thing to both sides and then I would be left with well negative 11 plus 11 is going to be 0 I'm going to be left with 5x is equal to 53 so what was the first step that I just did well I added 11 to both sides so this is going to be my first step now what what do I do to solve this well once again I want this to be in the form of x equals something that I know what X is well what's the best way to just have an X here on the left hand side well I could divide 5x by 5 that would give me X but once again if I want these two things to be equal to each other I have to do the same thing to both sides so up to divide 53 by 5 as well and then I'll be left with I'll be left with X is equal to 53 over 5 and I am done I have solved for the X that satisfies this equation so what's the next thing that I did well I divided both sides by 5 so this right over here step 2 I added 11 to both sides then divide both sides by 5 so let's fill that in so I'm going to add 11 to both sides adding 11 to both sides then I'm just left with 5x is equal to 53 and then I divide both sides by I've got it right