Question 745491
For this example our strategy is to make the bases equal, then we can set the exponents equal:

{{{16^(x+4)=8^(3x-2)}}}

{{{(2^4)^(x+4)=(2^3)^(3x-2)}}}

{{{2^(4*(x+4))=2^(3*(3x-2))}}}

{{{4x+16=9x-6}}}

{{{16+6=9x-4x}}}

{{{5x=22}}}

so x=22/5