\(\dfrac{x+1}{11}-\dfrac{2x-5}{15}=\dfrac{3x-47}{17}-\dfrac{4x-59}{19}\)
=>\(\left(\dfrac{x+1}{11}-1\right)-\left(\dfrac{2x-5}{15}-1\right)=\left(\dfrac{3x-47}{17}+1\right)-\left(\dfrac{4x-59}{19}+1\right)\)
=>\(\dfrac{x-10}{11}-\dfrac{2x-20}{15}=\dfrac{3x-30}{17}-\dfrac{4x-40}{19}\)
=>\(\left(x-10\right)\left(\dfrac{1}{11}-\dfrac{2}{15}-\dfrac{3}{17}+\dfrac{4}{19}\right)=0\)
=>x-10=0
=>x=10
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