Question 149599

{{{1/x+1/6=1/4}}} Start with the given equation.




{{{12x(1/x+1/6)=12x(1/4)}}} Multiply both sides by the LCD {{{12x}}}. Doing so will eliminate the fractions.




{{{12x(1/cross(x))+12x(1/cross(6))=12x(1/cross(4))}}} Distribute. Notice how the denominators cancel out.



{{{12+2x=3x}}} Simplify.



{{{12+cross(2x-2x)=3x-2x}}} Subtract {{{2x}}} from both sides.



{{{12=3x-2x}}} Simplify.



{{{12=x}}} Combine like terms.



So the answer is {{{x=12}}}