Question 168899: Solve |7x-4| = 10
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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Solve 
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Absolute value will always make the numbers inside positive, absolute value is the distance away from "0" on the number line
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|5| = 5, it is 5 units away from zero
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|-5| = 5, it is also 5 units away from zero
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, to get rid of the absolute value signs, we can say the left side equals 10, as well as (-10), since the absolute will make it positive, so we really have two equations
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 , and  , now let us solve for "x"
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First equation,
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We need to move (-4) to the right side
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=  =  , to find "x" we need to divide each side by "7"
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=  =  , we can check by replacing "x" with "2" in the equation
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=  =  =  (True)
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Now let us solve the second equation,
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We need to move (-4) to the right side
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=  =  , to find "x" we will divide each side by "7"
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=  =  , we can check by replacing "x" with ( )
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=  =  =  (True)
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Your two answers are ( ), and ( )
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If we replaced these two numbers into the original equation, they should work
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replace with "2",  =  =  =  = ( absolute value means that it is "10" units from "0" )
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replace with ( ),  =  =  =  = ( True ) ( Remember, the absolute signs will make any number positive, absolute value is just how far the number is from "0", (-10) is 10 units from "0"
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Your two answers are
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Hope I helped, Levi
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