Question 1148413
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<pre>

Left  side is  8^(x+4) = (2^3)^(x+4) = 2^(3*(x+4)).


Right side is  16^(4x-3) = (2^4)^(4x-3) = 2^(4*(4x-3)).


Thus  2^(3*(x+4)) = 2^(4*(4x-3)).


Since the numbers are equal and the bases are the same,  indexes are equal:


    3*(x+4) = 4*(4x-3)


    3x + 12 = 16x - 12

    12 + 12 = 16x - 3x

    24      = 13x


<U>ANSWER</U>.  x = {{{24/13}}}.
</pre>

Solved, explained and completed.