$$\frac{ 9x-5 }{ 4 } = \frac{ 7x-11 }{ 6 }$$
$x=-\frac{7}{13}\approx -0.538461538$
$$3\left(9x-5\right)=2\left(7x-11\right)$$
$$27x-15=2\left(7x-11\right)$$
$$27x-15=14x-22$$
$$27x-15-14x=-22$$
$$13x-15=-22$$
$$13x=-22+15$$
$$13x=-7$$
$$x=\frac{-7}{13}$$
$$x=-\frac{7}{13}$$
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