81^3(x+1) = 9^2(x-1)

Question

Solve this equation by expressing both sides as powers of 9.

Answer 1

81^3 = (9^2)^3 = 9^6
so

9^6(x+1) = 9^2(x-1)

so

6 x + 6 = x - 1

5 x = -7

x =-5/7