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**1. Homework Statement**

Find the sum of all real x such that

((2^x)-4)^3 + ((4^x)-2)^3=((4^x)+(2^3)-6)^3

**2. Homework Equations**

Nil

**3. The Attempt at a Solution**

(a-b)^3+3ab(a-b)=a^3-b^3

This equation doesnt help as the LHS is a sum of two cubes.

Is it wise to convert all fours and sixes as multiples of 2???

Please help me to get a start at least.