Question 653395
{{{4(x+6)=6(x-2)}}} Start with the given equation.



{{{4x+24=6x-12}}} Distribute.



{{{4x=6x-12-24}}} Subtract {{{24}}} from both sides.



{{{4x-6x=-12-24}}} Subtract {{{6x}}} from both sides.



{{{-2x=-12-24}}} Combine like terms on the left side.



{{{-2x=-36}}} Combine like terms on the right side.



{{{x=(-36)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=18}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{x=18}}}