To solve for x first move all the x to one side and the numbers to the other side.
-2x+3=-4/9x-1
Add 1 to both sides
-2x+4=-4/9x
Add -2x to both sides
4=-4/9x+2x
Get common denominators to combine the x
4=-4/9x+18/9x
4=14/9x
Multiply by 9 and divide by 14 to both sides.
4*9/14=x
36/14=x 18/7=x