$$\frac{ 5x-4 }{ 5 } = \frac{ 3x+10 }{ 6 }$$
$x = \frac{74}{15} = 4\frac{14}{15} \approx 4.933333333$
$$6\left(5x-4\right)=5\left(3x+10\right)$$
$$30x-24=5\left(3x+10\right)$$
$$30x-24=15x+50$$
$$30x-24-15x=50$$
$$15x-24=50$$
$$15x=50+24$$
$$15x=74$$
$$x=\frac{74}{15}$$
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