1) 6 - 4x = 24 + 12 - 8x
Combine like terms on the right side:
6 - 4x = 36 - 8x
Add 4x to both sides:
6 = 36 - 4x - 8x
6 = 36 - 12x
Subtract 36 from both sides:
-30 = -12x
Divide by -12 on both sides to solve for x:
x = 2.5

2) 0.2(5x - 2) = 0.3(2x - 1) - 0.9
Distribute 0.2 and 0.3 on the right side of the equation:
1 - 0.4 = 0.6 - 0.3 - 0.9
Combine like terms on the right side:
0.6 - 0.9 = -0.4 - 0.3
-0.3 = -0.7
This is a false statement, which means that there is no solution for x in this equation.