#(-11x+5)/6=-1/2#
#(-11x+5)/6color(blue)(*6)=-1/2color(blue)(*6)#
#(-11x+5)/color(red)cancelcolor(black)6*color(red)cancelcolor(black)6=-1/2*6#
#-11x+5=-6/2#
#-11x+5=-3#
#-11x+5color(blue)(-5)=-3color(blue)(-5)#
#-11xcolor(red)cancel(color(black)(+5-5))=-3-5#
#-11x=-8#
#(-11x)/color(blue)(-11)=(-8)/color(blue)(-11)#
#(color(red)cancel(color(black)(-11))x)/color(red)cancel(color(black)(-11))=(-8)/(-11)#
#x=8/11#
That is the answer. We can make sure that it is correct by plugging it into the original equation:
#color(white)=>(-11x+5)/6=-1/2#
#=>(-11(8/11)+5)/6=-1/2#
#color(white)=>(-color(red)cancelcolor(black)11(8/color(red)cancelcolor(black)11)+5)/6=-1/2#
#(-8+5)/6=-1/2#
#(-3)/6=-1/2#
#-1/2=-1/2 qquadcolor(lightgreen)sqrt#
Since this statement is true, our answer is correct.
