If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?
15/4
Multiply through by 60 (LCM of 3, 4, 5, 6) to clear fractions:
\[60 \cdot \dfrac{2(\tfrac{4x}{5}-\tfrac{3}{4})}{3} - 60 \cdot \dfrac{5}{3} = 60 \cdot \left(-\dfrac{1}{6}\right)\]
\[40\left(\dfrac{4x}{5}-\dfrac{3}{4}\right) - 100 = -10\]
\[32x - 30 - 100 = -10 \Rightarrow 32x = 120\]
Therefore \(x = \dfrac{120}{32} = \dfrac{15}{4}\).
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