Question 144993
{{{(y+6)^2/18+(x-5)^2/4=5}}} Start with the given equation



{{{(x-5)^2/4+(y+6)^2/18=5}}} Rearrange the terms



{{{(x-5)^2/20+(y+6)^2/90=1}}} Divide both sides by 5




So the equation is in the form {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}} where {{{h=5}}}, {{{k=-6}}}, {{{a=2*sqrt(5)}}}, and {{{b=3*sqrt(10)}}} 



Since the x-coordinate of the center is {{{x=h}}} this means that the x-coordinate of the center is {{{x=5}}}