SOLUTION: Could you please help me break this problem down. I have trouble with the fractions part of the problems. 3x+1/9+2=x-1/4 3x-x=-1/4-1/9-2 2x=I'm LOST! Thank you!

Question 145585This question is from textbook Algebra For college students
: Could you please help me break this problem down. I have trouble with the fractions part of the problems.
3x+1/9+2=x-1/4
3x-x=-1/4-1/9-2
2x=I'm LOST!
Thank you! This question is from textbook Algebra For college students

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

You're on the right track.
Whenever you add or subtract fractions you need to have the same denominator.
The quickest way is to multiply all the denominators together and transform each fraction to a fraction with that denominator.
In this case, the denominators are 4, 9, and 1.
Their product is 36.
Now find each fraction represented with denominator of 36.

and

and finally

Now substitute,

You can use your original equation to check if your answer is correct.

Change all fractions to denominator of 72.

Multiply both sides by 72.

Your answer leads to a true statement.
It's a good answer.

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