Question 225217
{{{(2/3)(11x-1/6)-3/4=1/4}}}
First thing to do is move the {{{-3/4}}} to the other side by adding it to both sides:
{{{(2/3)(11x-1/6)-3/4+3/4=1/4+3/4}}}
{{{(2/3)(11x-1/6)=1}}}
To get rid of the {{{2/3}}}, multiply both sides by {{{3/2}}}
{{{(3/2)(2/3)(11x-1/6)=1(3/2)}}}
{{{(11x-1/6)=3/2}}}
We can then drop the parentheses and move the {{{-1/6}}} over by adding it to both sides:
{{{11x-1/6+1/6=3/2+1/6}}}
We need to get a common denominater on the right side so:
{{{11x=9/6+1/6}}}
Then we can combine the right hand side:
{{{11x=10/6}}}
{{{11x=5/3}}}
Next we need to divide both sides by 11:
{{{11x/11=5/3*(1/11)}}}
(Multiplying by {{{1/11}}} is the same thing as dividing by 11.)
So:
{{{x=5/33}}}
When plugged back into the original equation, this checks out and gives us {{{1/4}}} back.