Answer: No, 3.8 is not a solution.
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 ^_^