To solve this equation, first distribute the factors on both sides:

0.7(3x-5) - 0.8(3-2x) = 12.6

0.7(3x) - 0.7(5) - 0.8(3) + 0.8(2x) = 12.6
2.1x - 3.5 - 2.4 + 1.6x = 12.6

Combine like terms:

3.7x - 5.9 = 12.6

Add 5.9 to both sides:

3.7x = 18.5

Divide by 3.7:

x = 5

Therefore, the solution to the equation is x = 5.