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Variables on Both Sides Worksheet PDF Form

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How to solve equations with variables on both sides

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Instructions and help about steps to solve equations with variables on both sides

hi my name is Maria I'm a mathematician and today I'm going to show you how to solve linear equations with variables on both sides so if I have an equation like 3x - 7 is equal to 5x + 4 the first thing you want to do is get your variable on one side so I have a 3X and I have a 5x and the easiest thing to do to avoid negative when possible is to get rid of the smaller coefficient so I have a three and a five I'm going to get rid of the three so because this 3x is positive the way that I would get rid of it ing to inverse operations is by subtracting it so I would subtract 3x because when I do that 3x - 3x will cancel itself out so if I subtract 3x from this side of the equation I have to subtract 3x from this side of the equation and I know that I can only subtract like terms so I'm going to subtract it from the 5x so when I do that 3x - 3x cancel out and I'm left with -7 it's really important to always remember to bring down the sign tha

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