I have the following equation to numerically solve for
\[CurlyPhi] as function of $k$ and $x$. $k$ is normally between $-\pi\leq k\leq\pi$.
A = 0.5; B = 0.1; P = -2.5; Sin[3*k + \[CurlyPhi]]/Sin[2*k + \[CurlyPhi]] == P + 2 Cos[k] + x^2/(1 + B*x^2) + ( A*x^2*(Sin^2)[k])/((Sin^2)[2*k + \[CurlyPhi]] + B*x^2*(Sin^2)[k])
Since this is analytically not solvable, so I started with lim $x\to 0$, and the solution is found in this limit, but then I want to see how numerical solutions
\[CurlyPhi] would change with increasing $x$. So either directly numerical solution or this way is OK but I don't understand how to do it. Any suggestions?