To solve this equation, we need to simplify each side step by step:

Distribute the -0.6 on the left side: 0.9x - 0.6x + 1.8 = 2(0.2x - 1.3)

Combine like terms on the left side: 0.3x + 1.8 = 2(0.2x - 1.3)

Distribute the 2 on the right side: 0.3x + 1.8 = 0.4x - 2.6

Rearrange the equation to isolate x terms on one side: 0.3x - 0.4x = -2.6 - 1.8

Combine like terms on both sides: -0.1x = -4.4

Divide by -0.1 to solve for x: x = (-4.4) / (-0.1) = 44

Therefore, the solution to the equation is x = 44.