$$\frac{ 4x+1 }{ 3 } = \frac{ 1 }{ 3 } (4x-1)- \frac{ 13+2x }{ 6 } - \frac{ 6 }{ 5 }$$
$x = -\frac{121}{10} = -12\frac{1}{10} = -12.1$
$$10\left(4x+1\right)=10\left(4x-1\right)-5\left(13+2x\right)-36$$
$$40x+10=10\left(4x-1\right)-5\left(13+2x\right)-36$$
$$40x+10=40x-10-5\left(13+2x\right)-36$$
$$40x+10=40x-10-65-10x-36$$
$$40x+10=40x-75-10x-36$$
$$40x+10=30x-75-36$$
$$40x+10=30x-111$$
$$40x+10-30x=-111$$
$$10x+10=-111$$
$$10x=-111-10$$
$$10x=-121$$
$$x=\frac{-121}{10}$$
$$x=-\frac{121}{10}$$
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