multiply both sides by 6 to get rid of the fractions. This will get you 3(3x+17) = 8x-10
Then distribute the 3 to get 9x+51 = 8x-10
subtract 8x from both sides to brong the x term to one side. This will get you x + 51 = -10
finaly, subtract the 51 from both sides to isolate the x term.
This will give you the final answer of x = -61