Question

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

Answer 1

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}`