SOLUTION: solve the equation 3x+2/5-2x+3/3=3

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Question 1210150: solve the equation 3x+2/5-2x+3/3=3
Found 3 solutions by greenestamps, josgarithmetic, mccravyedwin:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Without parentheses, we have no idea what the equation really is. Exactly as you show it....

3x%2B2%2F5-2x%2B3%2F3=3

It is possible, but not very likely, that that is what you really wanted.

Proper use of parentheses is important in mathematics....

Re-post, making it clear what the real equation is.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3x+2/5-2x+3/3=3
3x%2B2%2F5-2x%2B3%2F3=3

3x-2x=3-2%2F5-3%2F3
x=45%2F15-6%2F15-15%2F15
x=24%2F15
highlight%28highlight%28x=8%2F5%29%29

Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!

No sane algebra teacher would assign an equation to solve containing a term
written as 3%2F3.  But many a student leaves off parentheses, whenever a
numerator or denominator contains more than one number or one letter. So they
probably typed 

%282x%2B3%29%2F3 incorrectly as 2x+3/3, when it should have been typed as (2x+3)/3.

This problem either was intended to be:

%283x%2B2%29%2F5-%282x%2B3%29%2F3=3 or possibly 3x%2B2%2F5-%282x%2B3%29%2F3=3.  Most likely
the first one:

%283x%2B2%29%2F5-%282x%2B3%29%2F3=3

Multiply each term by the LCD of 15 to clear of fractions.

15%2Aexpr%28%283x%2B2%29%2F5%29-15%2Aexpr%28%282x%2B3%29%2F3%29=15%2A3

3%2A%283x%2B2%29-5%2A%282x%2B3%29=45

Distribute to remove the parentheses:

9x%2B6-10x-15=+45

Collect like terms:

-x-9=45

Add 9 to both sides:

-x-9%2B9=45%2B9

-x+=+54

Multiply (or divide) both sides by -1

x+=+-54

Edwin