Problem

$\frac{2}{3} x-2=5$

Answer

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Answer

\(\boxed{x = 10.5}\)

Steps

Step 1 ：Add 2 to both sides of the equation: \(\frac{2}{3}x - 2 + 2 = 5 + 2\)

Step 2 ：Simplify the equation: \(\frac{2}{3}x = 7\)

Step 3 ：Multiply both sides by \(\frac{3}{2}\) to isolate x: \(x = \frac{3}{2} \times 7\)

Step 4 ：Simplify the expression: \(x = 10.5\)

Step 5 ：\(\boxed{x = 10.5}\)

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