Solve equation-5 times (two thirds x-half) = 6 (two thirds x-half) - 5.5 to find x

Solve equation-5 times (two thirds x-half) = 6 (two thirds x-half) - 5.5 to find x

-5 times (two-thirds x-half) = 6 (two-thirds x-half) - 5.5
-10/3x+2.5=4x-3-5.5
-10/3x+2.5=4x-8.5
4x+10/3x=2.5+8.5
22/3x=11
x=11÷22/3
x=3/2