$$( \frac{ 45-2x }{ 15 } )-( \frac{ 4x+10 }{ 5 } )=( \frac{ 15-14x }{ 9 } )$$
$x = \frac{15}{14} = 1\frac{1}{14} \approx 1.071428571$
$$3\left(45-2x\right)-9\left(4x+10\right)=5\left(15-14x\right)$$
$$135-6x-9\left(4x+10\right)=5\left(15-14x\right)$$
$$135-6x-36x-90=5\left(15-14x\right)$$
$$135-42x-90=5\left(15-14x\right)$$
$$45-42x=5\left(15-14x\right)$$
$$45-42x=75-70x$$
$$45-42x+70x=75$$
$$45+28x=75$$
$$28x=75-45$$
$$28x=30$$
$$x=\frac{30}{28}$$
$$x=\frac{15}{14}$$
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