Solve for x

Question

2×4^x-3=16^x÷8^1-x

Answer 1

since 4=2%2, 8=2^3, 16=2^4, you have
2*2^(2(x-3)) = 2^(4x)*2^(3(x-1))
2^(2x-5) = 2^(7x-3)
2x-5 = 7x-3
5x = -2
x = -2/5