Sorry this is a simple question but I'm having difficulty with it .
$$2(16^{3x+2}) = 1 / 8^{5x-4}$$
I'm told to solve for $x$.
My working -
$$2(16^{3x+2}) = 1 / 8^{5x-4}$$
$$32^{3x+2} = 8^{-5x+4}$$
$$32^{3x+2} = 8^{-5x+4}$$
$$(2^5)^{3x+2} = 2^{3(-5x+4)}$$
$$5(3x+2) = 3(-5x+4)$$
$$15x + 10 = -15x + 12$$
$$30x = 2$$
$$x= 1/15$$
My answer is wrong .. Can I get some help or hint on where did I go wrong ?
$$2\cdot16^{3x+2}=\dfrac1{8^{5x-4}} \iff2^{1+4(3x+2)}=2^{-3(5x-4)}$$
$$\implies1+4(3x+2)=-3(5x-4)\iff x=?$$