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Mathematics 19 Online
OpenStudy (anonymous):

a-8/12=2a+5/3

OpenStudy (kc_kennylau):

\[\begin{array}{rcl} \frac{a-8}{12}&=&\frac{2a+5}3\\ 3\times12\times\frac{a-8}{12}&=&\frac{2a+5}3\times12\times3\\ 3(a-8)&=&12(2a+5)\\ 3a-24&=&24a+60\\ 3a-24-3a&=&24a+60-3a\\ -24&=&21a+60\\ -24-60&=&21a+60-60\\ -84&=&21a\\ \frac{-84}{21}&=&\frac{21a}{21}\\ -4&=&a\\ a&=&-4 \end{array}\]

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