Question 917319
Shown in many baby steps:
{{{(1/2)(x -1/6)+2/3=5/6+(1/3)(1/2-3x)}}}
{{{(1/2)x-(1/2)(1/6)+2/3=(1/3)(1/2)-3x(1/3)}}}
{{{(1/2)x-1/12+2/3=5/6+1/6-x}}}
{{{(1/2)x-1/12+2/3=1-x}}}
At this point, to get rid of those pesky fractions,
I would multiply both sides of the equal sign times 12 to get
{{{12((1/2)x-1/12+2/3)=12(1-x)}}}
{{{12(1/2)x-12(1/12)+12(2/3)=12-12x}}}
{{{6x-1+8=12-12x}}}
{{{12x+6x+7=12}}}
{{{18x+7=12}}}
{{{18x=12-7}}}
{{{18x=5}}}
{{{highlight(x=5/18)}}}