Question

Solve for x in the equation:
32^(x-3) × 8^(x+4) = 64 ÷ 2^x  

Answer 1

2^5(x−3) × 2^3(x+4) = 2⁶ ÷ 2^x 
2^5x−15 × 2^3x+12 = 2₆ ÷ 2^x  
2^{(5x−15)+(3x+12)} = 2^6−x  
5x−15+3x+12 = 6−x
8x − 3 = 6−x
8x+x = 6+3
9x = 9
9      9
  x = 1