5 (x + 3) + 6 < 3 (x - 2) + 5

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5 (x + 3) + 6 < 3 (x - 2) + 5

5x + 15 + 6 < 3x - 6 + 5

2x < -21 -1
2x < -22
x > -11
Though the x value is correct, since you are not dividing -22 with a negative sign ie -2, you cannot flip the sign. To be clear the sign should remain the same as
x<-11