Question 147994
{{{x/12-1/6=(2x-7)/12}}} Start with the given equation.



{{{12(x/cross(12)-1/cross(6))=12((2x-7)/cross(12))}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{x-2=2x-7}}} Distribute and multiply.



{{{x=2x-7+2}}} Add {{{2}}} to both sides.



{{{x-2x=-7+2}}} Subtract {{{2x}}} from both sides.



{{{-x=-7+2}}} Combine like terms on the left side.



{{{-x=-5}}} Combine like terms on the right side.



{{{x=(-5)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



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


Answer:


So the answer is {{{x=5}}} 


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


Check:


{{{x/12-1/6=(2x-7)/12}}} Start with the given equation.



{{{(5)/12-1/6=(2*(5)-7)/12}}} Plug in {{{x=5}}}.



{{{(5)/12-2/12=(2*(5)-7)/12}}} Multiply {{{1/6}}} by {{{2/2}}}



{{{(3)/12=(2*(5)-7)/12}}} Combine the fractions.



{{{1/4=(2*(5)-7)/12}}} Reduce.



{{{1/4=(10-7)/12}}} Multiply.



{{{1/4=(3)/12}}} Subtract.



{{{1/4=1/4}}} Reduce.





Since the equation is <b>true</b>, this means that x=5 is a solution.