Question

6x +1/12-x-13/9=5x-3/2+x/30

Answer 1

$6+ \frac{1}{12}-x- \frac{13}{9}=5x- \frac{3}{2} + \frac{x}{30}$
$6+ \frac{1}{12}- \frac{13}{9}+\frac{3}{2} =5x+x + \frac{x}{30}$

$6+ \frac{1}{12}- \frac{13}{9}+\frac{3}{2} =6x + \frac{x}{30}$

$6+ \frac{1}{12}- \frac{13}{9}+\frac{3}{2} =\frac{(30*6x)+x}{30}$

$6+ \frac{1}{12}- \frac{13}{9}+\frac{3}{2} =\frac{180x+x}{30}$

$6+ \frac{1}{12}- \frac{13}{9}+\frac{3}{2} =\frac{181x}{30}$

$6+ \frac{1}{12}+\frac{3}{2}- \frac{13}{9} =\frac{181x}{30}$

$\frac{(12*6)+1+(6*3)}{12} - \frac{13}{9} =\frac{181x}{30}$

$\frac{72+1+18}{12} - \frac{13}{9} =\frac{181x}{30}$

$\frac{91}{12} - \frac{13}{9} =\frac{181x}{30}$

El mínimo común múltiplo de 12 y 9 es: 36
$\frac{(3*91)-(4*13)}{36} =\frac{181x}{30}$

$\frac{273-52}{36} =\frac{181x}{30}$

$\frac{221}{36} =\frac{181x}{30}$

$\frac{221}{36} *30=181x$

$\frac{6630}{36}=181x$

$(\frac{6630}{36})/181=x$

$\frac{\frac{6630}{36}}{181} =x$

$\frac{6630}{36*181} =x$

$\frac{6630}{6516} =x$

$x=\frac{6630}{6516}=1.0174953959$