Solving Rational Equations

Solve:

 $\frac{100-4x}{3}=\frac{5x+6}{4}+6$ 

x = _

Solve:


 $\frac{1}{x}+\frac{1}{5x}=\frac{2x+12}{5x^2}$ 

x = _

Solve:


 $\frac{1}{a+2}-2=\frac{6}{a+2}$ 

a = _

Solve:

 $\frac{1}{x-3}+\frac{1}{x+3}=\frac{10}{x^2-9}$ 

x = _

Solve:

 $\frac{2}{\left(x-4\right)\left(x-2\right)}=\frac{1}{x-4}+\frac{2}{x-2}$ 

x = _ is an extraneous solution