in such cases where 2 line intersect each other, opposite angels are equal
so
2x+2 = 3x - 52
now subtracting 2 from both side
2x +2 -2 = 3x - 52 - 2
2x = 3x - 54
subtracting 3x from both side
2x -3x = 3x -54 - 3x
-x = -54
drividing by -1 both side
-x/-1 = -54/-1
x = 54
