Question 435802
Multiply both sides by 6.

{{{12(x-4)=5(x+6)-36}}} => {{{12x-48=5x+30-36}}} => {{{12x-5x=48-6}}} =>

{{{7x=42}}} => {{{x=6}}}.

Check:2(6-4)=(5/6)(6+6)-6 => 4=10-6 => 4=4. Since x=6 satisfy the equation, the value 6 is the solution.