4/(x+2)=3/(x-5)

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Solution for 4/(x+2)=3/(x-5) equation:



4/(x+2)=3/(x-5)
We move all terms to the left:
4/(x+2)-(3/(x-5))=0
Domain of the equation: (x+2)!=0
We move all terms containing x to the left, all other terms to the right
x!=-2
x∈R
Domain of the equation: (x-5))!=0
x∈R
We calculate fractions
4x/((x+2)*(x-5)))+(-(3*(x+2))/((x+2)*(x-5)))=0
We calculate terms in parentheses: -(3*(x+2))/((x+2)*(x-5))), so:
3*(x+2))/((x+2)*(x-5))
We multiply all the terms by the denominator
3*(x+2))
We multiply parentheses
3x+
We add all the numbers together, and all the variables
3x
Back to the equation:
-(3x)
We add all the numbers together, and all the variables
-3x+4x/((x+2)*(x-5)))+(=0
We multiply all the terms by the denominator
-3x*((x+2)*(x-5)))+(+4x=0
We add all the numbers together, and all the variables
4x-3x*((x+2)*(x-5)))+(=0

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