Question

$\frac{3x + 7}{3} + \frac{5x + 1}{6} = \frac{17}{2} - 3x$

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Answer 1

$\frac{3x+7}{3}+ \frac{5x+1}{6}=\frac{17}{2}-3x$

$\frac{6x+14}{6}+\frac{5x+1}{6}=\frac{51}{6}-\frac{18x}{6}$

$\frac{6x+14+5x+1}{6}=\frac{51-18x}{6}$

$6x+14+5x+1=51-18x$

$6x+5x+18x=51-14-1$

$29x=36$

$x=\frac{36}{29}$