\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the values of \(a\), \(b\), and \(c\) given the polynomial identity:$$ ax^4 + (b-2)x^3 + 5x = -3x^4 + 7x^3 + cx $$
\(a = \)
, \(b = \)
, \(c = \)