Need help with process, im stumped x+6/2 + x+2/3 =9

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Need help with process, im stumped x+6/2 + x+2/3 =9

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\frac{ x+6 }{ 2 }+\frac{ x+2 }{ 3 }=9\] Answer = 32/5 Unknown how to reach the correct answer
first find common denominator
6?

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yes right \[\huge\rm \frac{ 3(x+6)+2(x+2) }{ 6 }=9\] multiply the numerator of first fraction by the denominator of 2nd fraction multiply the numerator of 2nd fraction by the denominator of 1st fraction 1st) multiply both sides by 6 2nd) distribute parentheses by outside number
\[\frac{ x+6 }{ 2 }+\frac{ x+2 }{ 3 }=\frac{9}{\color{red}{1}}\]This might help, too!
\[\frac{ 5x+22 }{ 6 }=9\] \[6\times9=54\] \[54-22=32\] \[32\div5=\frac{ 32 }{ 5 }\]
great job!!!!
i realize that was probably not the proper way but thats my life story... thank you both
As long as you understand the method, everything works. I was a little confused at first since you hadnt written out your steps but after solving it,it looks good :)

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