3 and 1/3 = 10/3

(10/3)x - 2 = -4(x+7)

(10/3) x - 2 = -4x - 28

(10/3)x + 4x - 2 = -28

(10/3)x + (12/3)x - 2 = -28

(22/3)x - 2 = -28

(22/3)x = -26

x = (-26)(3/22) = -78/22 = -39/11

CHECK:

left side:

(10/3)(-39/11) - 2 = -390/33 - 2 = -130/11 - 2= -130/11 - 22/11 = -152/11

right side:

-4(-39/11 + 7) = -4( -39/11 + 77/11) = -4( 38/11) = -152/11