Question 178267
{{{(-1/9)(x-27)+(1/3)(x+3)=x+11}}}
The first step is to distribute through the -1/9 and 1/3 on the left hand side:
{{{(-1/9)x+(-1/9)(-27)+(1/3)x+(1/3)(3)=x+11}}}
{{{(-1/9)x+3+(1/3)x+1=x+11}}}
Now, we will combine like terms on the left hand side:  Notice that to combine the (-1/9)x and (1/3)x we have to transform 1/3 into 3/9 so that we have a common denominator.  So,
{{{(-1/9)x+(3/9)x+4=x+11}}}
{{{(2/9)x+4=x+11}}}
Now, subtract 4 from both sides:
{{{(2/9)x=x+7}}}
Subtract x from both sides (remember that x is the same as (9/9)x)
{{{(-7/9)x=7}}}
Last, divide both sides by -7/9, which is the same as multiplying by -9/7.  So
{{{x=7(-9/7)=-9}}}
Thus, we have that x=-9.