i want to create this text-equation alignment but i cant figure out how

I have this image, and i want to recreate it in latex. Equations must be aligned on the left as well as the text next to the equations must be aligned on the right and the numbering of equations must be included too. I have tried begin{subequations} , begin{arrays} , begin{align} but i cant get the alignment and the numbering.

Following is the picture that I want to recreate

Following is my code without the alignment

"Maxwell's equations" are named for James Clark Maxwell and are as follow:

begin{equation}
  overrightarrow{nabla} cdot overrightarrow{E}quad =quad frac{rho}{epsilon_0}  text{{Gauss's Law}}
end{equation}

begin{equation}
   overrightarrow{nabla} cdot overrightarrow{B}quad  = quad 0  text{{Gauss's Law for Magnetism}}
end{equation}

begin{equation}
   overrightarrow{nabla} times overrightarrow{E}quad  = quad - frac{partial overrightarrow{B} }{partial t} text {{Faraday's Law of Induction}}
end{equation}   

begin{equation}
   overrightarrow{nabla} times overrightarrow{B} quad = quad frac{mu_0}{epsilon_0}  text{{Ampere's Circuital Law}}
end{equation}

documentclass{article}

usepackage{amsmath}

begin{document}

``Maxwell's equations'' are named for James Clark Maxwell and are as follow:
begin{align}
   vec{nabla} cdot vec{E} &= frac{rho}{epsilon_0} && 
    text{Gauss's Law} 
   vec{nabla} cdot vec{B} &= 0                       && 
    text{Gauss's Law for Magnetism} 
  vec{nabla} times vec{E} &= -frac{partial vec{B}}{partial t} && 
    text{Faraday's Law of Induction} 
  vec{nabla} times vec{B} &= mu_0 biggl( epsilon_0 frac{partial vec{E}}{partial t} + vec{J} biggr) && 
    text{Ampere's Circuital Law}
end{align}

end{document}