Find the root of each equation. Check each solution. (Please show your work.)?

1/4(x-3) = 1/3(x-2)
(x-3)/4 = (x-2)/3
12*(x-3)/4 = 12*(x-2)/3
3*(x-3) = 4*(x-2)
3x-9 = 4x-8
3x-4x = -8+9
-x = 1
x = -1

2/3(5n - 1) = -3/5(n+2)
(10n-2)/3 = (-3n-6)/5
15*(10n-2)/3 = 15*(-3n-6)/5
5*(10n-2) = 3*(-3n-6)
50n-10 = -9n-18
50n+9n = -18+10
59n = -8
n = -0.1356