0.6(x+7)-0.5(x-3)=6.8

0.6x+4.2-0.5x-(-1.5)=6.8

0.6x+4.2-0.5x+1.5=6.8

0.6x-0.5x=6.8-1.5-4.2

0.1x=1.1

x=11