43.2(11/18x-7/8)-25.5(9/17x-2/3)=59.5

$43,2\cdot(\frac{11}{18}x-\frac{7}{8})-25,5\cdot(\frac{9}{17}x-\frac{2}{3})=59,5$

$43,2\cdot(\frac{11x}{18}-\frac{7}{8})-25,5\cdot(\frac{9x}{17}-\frac{2}{3})=59,5$

$26,4x-37,8-13,5x+17=59,5$

$12,9x-20,8=59,5$

$12,9x=59,5+20,8$

$12,9x=80,3$

$x=80,3:12,9=80\frac{3}{10}:12\frac{9}{10}=\frac{803}{10}:\frac{129}{10}=\frac{803}{10}\cdot\frac{10}{129}=\frac{803}{129}=6\frac{29}{129}$