Solution: As 2 (x - 3) + 3 = -5 (-5x - 1) +3x, we have
2x - 6 + 3 = 25x + 5 + 3x

i.e.,
2x - 3 = 28x + 5

Hence,
(28 - 2)x = -3 - 5

i.e.,
26x = -8

Hence,
x = -8/26

i.e.,
x = -4/13