Question 121728
a.){{{5- 2/(X-6)= (10-2X)/(X-6)}}}Original equation.
{{{5(X-6)-2= 10-2X}}}Multiply both sides by (X-6). 
{{{5X-30-2=10-2X}}}Distribute.
{{{5X-32=10-2X}}}Simplify both sides. 
{{{7X=42}}}
{{{X=6}}}
b.) X=6 cannot be a solution because in your original equation (X-6) is in the denominator.
The expression would become undefined if X=6, the denominator would equal zero.