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21 votes
21 votes
Please help, I understand how to do the first half of the problem, but don’t know how to solve for the second equation!!

Please help, I understand how to do the first half of the problem, but don’t know-example-1
User Sunil Patil
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1 Answer

22 votes
22 votes

an absolute value equation is always a twin equation in disguise, so


6|x-7|=48\implies |x-7|=\cfrac{48}{6}\implies |x-7|=8\implies \pm(x-7)=8 \\\\[-0.35em] ~\dotfill\\\\ +(x-7)=8\implies \boxed{x=15} \\\\[-0.35em] ~\dotfill\\\\ -(x-7)=8\implies x-7=-8\implies \boxed{x=-1}

User Ostin
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