$x-\frac{8}{3} x=-10$

Step 1 ：Combine the x terms: \(x - \frac{8}{3}x = -10\)

Step 2 ：Factor out x: \(x(1 - \frac{8}{3}) = -10\)

Step 3 ：Simplify the expression inside the parentheses: \(x(-\frac{5}{3}) = -10\)

Step 4 ：Divide both sides by -\frac{5}{3}: \(x = \frac{-10}{-\frac{5}{3}}\)

Step 5 ：Simplify the division: \(x = 6\)

Step 6 ：Final Answer: \(\boxed{6}\)