>2X-3/3=3x+2/5
That is mistyped because when typing a fraction all
on one line using this " / " for a fraction bar, you
must enclose all numerators and denominators within
parentheses which contain more than just one number
or just one letter. So you should have typed this:
(2x-3)/3 = (3x+2)/5
You wouldn't need to put the denominators within
parentheses because they are just one number each.
Parentheses aren't necessary when written on
two lines with horizontal fraction bars, like this:
2x-3 3x+2
------ = ------
3 5
Anyway, the idea is to clear of fractions.
The LCD of 3 and 5 is 15, so multiply both sides by
15. That is, put 15 over 1, like this:
15
----·
1
then put this in front of every term on both sides:
15 2x-3 15 3x+2
----·------ = ----·------
1 3 1 5
Now cancel the 3 into the 15 on the left, getting 5.
Cancel 5 into 15 on the right, getting 3.
5 3
15 2x-3 15 3x+2
----·------ = ----·------
1 3 1 5
1 1
Now you must place parentheses around the 2x-3, like
this (2x-3), and also around the 3x+2, like this (3x+2)
and your equation becomes
5(2x-3) = 3(3x+2)
Can you finish from there?
Answer: x = 21
Edwin
