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(2x+5)/(3-x)=14/15
We move all terms to the left:
(2x+5)/(3-x)-(14/15)=0
Domain of the equation: (3-x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x!=-3
x!=-3/-1
x!=+3
x∈R
(2x+5)/(-1x+3)-(+14/15)=0
We get rid of parentheses
(2x+5)/(-1x+3)-14/15=0
We calculate fractions
(30x+75)/(-15x+45)+(14x-42)/(-15x+45)=0
We multiply all the terms by the denominator
(30x+75)+(14x-42)=0
We get rid of parentheses
30x+14x+75-42=0
We add all the numbers together, and all the variables
44x+33=0
We move all terms containing x to the left, all other terms to the right
44x=-33
x=-33/44
x=-3/4
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