Answer
$\dfrac {22}{5}=4.4$
Work Step by Step
$16^{x+4}=8^{3x-2}\Rightarrow \left( 2^{4}\right) ^{x+4}=\left( 2^{3}\right) ^{3x-2}\Rightarrow 2^{4x+16}=2^{9x-6}$
$4x+16=9x-6\Rightarrow 5x=22\Rightarrow x=\dfrac {22}{5}=4.4$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.