TenMarks teaches you how to solve multi step equations.
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Learn about Multi Step Equations In this lesson, we will learn how to solve multi-step equations which is equations that have to be done using multiple steps. Let's do a couple of them. First one, is 4×4x+1/5=5. As we can see, the variable is x, that’s what we’re solving for. It looks like what they’ve done is first multiply the variable with 4 then added 1 to it then divided 5 for the whole thing. In order to undo it, let's get rid of this 5 first. So, 4x+1, let's multiply this by 5, we’ll multiply the left hand side by 5 and multiply the right hand side by 5 and this is to undo this division. This undoes the division and gives us 4x+1=25. Now we can see 4x is 1 added to it, so let's subtract both sides. So, 4x becomes 25-1=24 then x have been multiplied by 4, so let's divide it by 4. 24/4 is 6, 4x/4 is x, so x=6. Let's double check our answer, that’s what it wants us to do. If x were indeed 6, 6×4, 4×6+1/5 should be equal to 5. Is this true? 4×6 is 24+1=25/5=5, this is true. X indeed is equal to 6. Lest do one more. It gives us 9=6-x+2+7, this is positive 6. First let's combine like terms. We've got 7 and 6. 6+7 is 13-x+2. It looks like first I've added 13 to this variable, so let’s subtract 13 from this side and this side, so I get 9-13 is -4 equals, this is 0, negative of x+2. It looks like this variable set is multiplied by -1, so let's divide by -1. -4÷-1 is 4. This becomes x+2 and this get cancelled out. So, if x+2=4, x has been added to 2, let's subtract 2 from both sides. 4-2 is 2, x+2-2 is x, so x=2, that’s our answer. Remember, all we have to do when we look at the multi-step equation, we’re trying to alienate and move extra one side and everything else solved together. 6, 7 have been added to the right, so let's subtract it from the right and the left; that’s what we did. Then x+2 has been multiplied by -1, so let's divide by -1. You get the idea but the answer is x=2.

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