$$x + 7 - \frac { 8 x } { 3 } = \frac { 17 } { 6 } - \frac { 5 x } { 8 }$$
$x=4$
$$24x+168-8\times 8x=68-3\times 5x$$
$$24x+168-64x=68-3\times 5x$$
$$-40x+168=68-3\times 5x$$
$$-40x+168=68-15x$$
$$-40x+168+15x=68$$
$$-25x+168=68$$
$$-25x=68-168$$
$$-25x=-100$$
$$x=\frac{-100}{-25}$$
$$x=4$$
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