SOLUTION: Can you help me solve this equation? (x-2)/3-(x-3)/5=13/15

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 Question 106516: Can you help me solve this equation? (x-2)/3-(x-3)/5=13/15Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!(x-2)/3-(x-3)/5=13/15 First, we will get rid of the fractions by multiplying each term by the Lowest Common Multiple (LCM)(the smallest number that 3,5 and 15 divides evenly into)------------By inspection, we see that this number is 15. 15*(x-2)/3-15*(x-3)/5=15*13/15 simplifying we get: 5(x-2)-3(x-3)=13 get rid of parens (distributive law) 5x-10-3x+9=13 simplify 2x-1=13 add 1 to both sides 2x-1+1=13+1 collect like terms 2x=14 divide both sides by 2 x=7 CK (x-2)/3-(x-3)/5=13/15 (7-2)/3-(7-3)/5=13/15 5/3-4/5=13/15 5/3=25/15 and 4/5=12/15, so: 25/15-12/15=13/15 13/15=13/15 Hope this helps---ptaylor