$$\frac{ 9x-2 }{ 3 } - \frac{ 1-x }{ 7 } = \frac{ 7x-13 }{ 3 }$$
$x = -\frac{74}{17} = -4\frac{6}{17} \approx -4.352941176$
$$7\left(9x-2\right)-3\left(1-x\right)=7\left(7x-13\right)$$
$$63x-14-3\left(1-x\right)=7\left(7x-13\right)$$
$$63x-14-3+3x=7\left(7x-13\right)$$
$$63x-17+3x=7\left(7x-13\right)$$
$$66x-17=7\left(7x-13\right)$$
$$66x-17=49x-91$$
$$66x-17-49x=-91$$
$$17x-17=-91$$
$$17x=-91+17$$
$$17x=-74$$
$$x=\frac{-74}{17}$$
$$x=-\frac{74}{17}$$
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