\(x-\dfrac{3}{x}+5=\dfrac{5}{7}\)
\(\dfrac{2x}{x}-\dfrac{3}{x}\) \(=\)\(\dfrac{-30}{7}\)
\(\dfrac{2x-3}{x}=\dfrac{-30}{7}\)
\(\Leftrightarrow\left(2x-3\right).7=\left(-30\right).x\)
\(\Leftrightarrow14x-21=\left(-30\right)x\)
\(\Leftrightarrow14x+30x=21\)
\(\Leftrightarrow44x=21\)
\(\Leftrightarrow x=\dfrac{21}{44}\)
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\(\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
\(\Rightarrow5\left(x+5\right)=7\left(x-3\right)\)
\(\Rightarrow5x+25=7x-21\)
\(\Rightarrow5x-7x=-21-25\)
\(\Rightarrow-2x=-46\)
\(\Rightarrow x=23\)
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