Dog Walking Ratio Problem

Denali and Nate work for a dog walking business and are paid for each dog they walk. Denali is responsible for $ 16 $ dogs and Nate is responsible for $ 12 $ dogs. Under the company's new policy, they will be assigned or unassigned new dogs in groups of $ x $ dogs. The ratio of Denali's pay to Nate's pay would be the same if Denali started walking $ 4x $ more dogs and Nate stayed at $ 12 $ dogs or if $ x $ of Nate's dogs were reassigned to Denali. Find $ x $ if $ x\neq0 $.

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  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$