If -3x-13-2x-85=x+85-3 then x=

-3x-13-2x-85=x+85-3 -3x-13-2x-165=x+85-3 -3x-13+3=x+85+2x-165 -3x+1+93=x+8+2x-165 -3x+103=3x-85 -15x+50=9x-24 -15x-9x=-24-50 -24x=-74 x=7424 x=3712

If -3x-13-2x-85=x+85-3 then x=

-3x-13-2x-85=x+85-3 -3x-13-2x-165=x+85-3 -3x-13+3=x+85+2x-165 -3x+1+93=x+8+2x-165 -3x+103=3x-85 -15x+50=9x-24 -15x-9x=-24-50 -24x=-74 x=7424 x=3712

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If $- \frac{(3 x - 1)}{3} - \frac{2 (x - 8)}{5} = \frac{x + 8}{5} - 3$ then x=

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$- \frac{22}{6}$

$- \frac{5}{6}$

$\frac{4}{3}$

$\frac{37}{12}$

answer is D.

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Detailed Solution

$- \frac{(3 x - 1)}{3} - \frac{2 (x - 8)}{5} = \frac{x + 8}{5} - 3 - \frac{(3 x - 1)}{3} - \frac{(2 x - 16)}{5} = \frac{x + 8}{5} - 3 - \frac{(3 x - 1)}{3} + 3 = \frac{x + 8}{5} + \frac{(2 x - 16)}{5} \frac{- 3 x + 1 + 9}{3} = \frac{x + 8 + 2 x - 16}{5} \frac{- 3 x + 10}{3} = \frac{3 x - 8}{5} - 15 x + 50 = 9 x - 24 - 15 x - 9 x = - 24 - 50 - 24 x = - 74 x = \frac{74}{24} x = \frac{37}{12}$