Evaluate 5x−3/2x−1 = 4/3 ^3

1.	Evaluate 5x−3/2x−1 = 4/3 ^3
Answer» QUESTION: Evaluate $\frac{5x - 3}{2x - 1} = { \big(\frac{4}{3} \big) }^{3}$ Step-by-step EXPLANATION: $\frac{5x - 3}{2x - 1} = { \big(\frac{4}{3} \big) }^{3}$ $\implies 5x - 3 = 2x - 1[{ \big( \frac{4}{3} }^{3} \big) ]$ $\implies 5x - 3 = 2x - 1 \big[ \frac{64}{27} \big]$ $5x - 3 = 128 - \frac{64}{27}$ $5x - 3 = \frac{3456x - 64}{27}$ $135x - 3 = 3456x - 64$ $3321x - 61 = 0$ $3321x = 61$ $\boxed{x = \frac{61}{3321} }$ $\: \: \: \: \: or \: \: \: \: \:$ $\boxed{x ≈ 0.0183}(approximately)$

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