5*sin X + 7*cos X = 7.830127019 solve for X?

5*sin X + 7*cos X = 7.830127019

Can this equation be solved for X? I don't think so, but it's worth a try here. It's not homework, but the result of a long series of equations that I'm trying to evaluate to generate seed values for the coefficients for a matrix.

My actual equation is:

(X2-X1)/S = (x2C2-y2C1-x1C2+y1C1)*cos(phi) + (z2-z1)*sin(phi)

Solve for Phi. X1, X2, S, x1, y1, z1, x2, y2, z1, z2, C1, and C2 are all known values. The only unknown is phi, but I don't think the equation can be solved for Phi. Thanks! :confused: