1. 6 - x = 5(x - 8).
6 - x = 5x - 40.
-x - 5x = -40 + 6.
-6x = -36.
x = 6.
2. 3x - ((1/3)x + 1) = 2.
3x - (1/3)x = 2 + 1.
(8/3)x = 3.
x = 3 * 3/8
x = 9/8.
3. -6((1/4)x + 7) = -10.
-(3/2)x - 42 = -10.
-(3/2)x = 32.
x = 32 * -(2/3).
x = -64/3.
4. 4 = 2(6x - 1) - x.
4 = 12x - 2 - x.
4 + 2 = 11x.
6 = 11x.
x = 6/11.
5. 6x - 6(2x - 3) = 2x.
6x - 12x + 18 = 2x.
-6x - 2x = -18.
-8x = -18.
x = 9/4.
6. 8 - 8(x + 3) = 15.
8 - 8x - 24 = 15.
-8x = 15 + 16.
-8x = 31.
x = -31/8.