If $\frac{2 x}{9} = 8,$ then the value of $x$ which balances the equation is .

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Solution

The correct option is C 36
Consider the equation $\frac{2 x}{9} = 8.$
Taking 9 to the RHS, we get
$2 x = 8 \times 9 = 72.$
Taking 2 to the RHS, we get
$x = \frac{72}{2} = 36.$
Thus, the value of $x$ that satisfies the equation $\frac{2 x}{9} = 8$ is 36.

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