I need to make I am right so, which is more -9 8/9 or -10 8/9

No, 3.8 is not a solution.

Step-by-step explanation:

Set -5x+1 equal to 3x-2

-5x+1=3x-2 subtract 3x making it -8x+1=-2 subtract one from both sides and get -8x=-3 divide by -8 and get -3/-8 which equals in decimal form 0.375

Check it

plug in 0.375 for X

-5(0.375)+1= -0.875

3(0.375)-2 = -0.875

It checks out ^_^