Question

\(\dfrac{25}{2-x}=\dfrac{5}{3}\)
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Answer 1

\(\dfrac{25}{2-x}=\dfrac{5}{3}\\ \Rightarrow25.3=5.\left(2-x\right)\\ \Rightarrow75=10-5x\\ \Rightarrow-5x=-65\\ \Rightarrow13\)

Answer 2

\(\Rightarrow5x=-65\\ \Rightarrow-13\)

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Answer 3

\(\dfrac{25}{2-x}=\dfrac{5}{3}\)

\(\Leftrightarrow\dfrac{75}{3\left(2-x\right)}=\dfrac{5\left(2-x\right)}{3\left(2-x\right)}\)

\(\Leftrightarrow75=10-5x\)

\(\Leftrightarrow5x=10-75\)

\(\Leftrightarrow5x=-65\)

\(\Leftrightarrow x=\dfrac{-65}{5}=-13\)