Answer:
x = 2
Step-by-step explanation:
(2^x - 2)(5 * 2^x + 10) = 3 * 4^x + 12
5 * 2^(2x) + 10 * 2^x - 2 * 5 * 2^x - 20 = 3 * (2^2)^x + 12
2^x[5 * 2^(x)] - 20 = 3 * 2^(2x) + 12
2^x[5 * 2^(x)] = 3 * 2^(2x) + 32
5 * 2^(2x) - 3 * 2^(2x) = 32
2 * 2^(2x) = 32
2^(2x) = 16
2^(2x) = 2^4
2x = 4
x = 2
