Problem

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

Answer

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Answer

Final Answer: \(\boxed{6}\)

Steps

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: \(\boxed{6}\)

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