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31 votes
31 votes
Solve for x:13/14 - 6/7x = 7/8

User RobertG
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1 Answer

21 votes
21 votes

Let's begin by identifying key information given to us:


\begin{gathered} (13)/(14)-(6)/(7)x=(7)/(8)​ \\ \text{Rearranging the expression, we have:} \\ (13)/(14)-(7)/(8)=(6)/(7)x \\ (52-49)/(56)=(6)/(7)x \\ (3)/(56)=(6)/(7)x \\ \text{Cross multiply to eliminate the denominators, we have:} \\ 7*3=6*56* x \\ 21=336x\Rightarrow336x=21 \\ 336x=21 \\ x=(21)/(336)=(1)/(16) \\ x=(1)/(16) \\ \\ \therefore x=(1)/(16) \end{gathered}

User Baum Mit Augen
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