<PRE><B>Question 147465</B>


{{{x+7/6=2x-7/6}}} Start with the given equation.



{{{6(x+7/cross(6))=6(2x-7/cross(6))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{6x+7=12x-7}}} Distribute and multiply.



{{{6x=12x-7-7}}} Subtract {{{7}}} from both sides.



{{{6x-12x=-7-7}}} Subtract {{{12x}}} from both sides.



{{{-6x=-7-7}}} Combine like terms on the left side.



{{{-6x=-14}}} Combine like terms on the right side.



{{{x=(-14)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{x}}}.



{{{x=7/3}}} Reduce.



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Answer:


So the answer is {{{x=7/3}}} 



Which approximates to {{{x=2.333}}} 

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