3/(x+8)=4/(6-x)

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Solution for 3/(x+8)=4/(6-x) equation:



3/(x+8)=4/(6-x)
We move all terms to the left:
3/(x+8)-(4/(6-x))=0
Domain of the equation: (x+8)!=0
We move all terms containing x to the left, all other terms to the right
x!=-8
x∈R
Domain of the equation: (6-x))!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-6
x!=-6/1
x!=-6
x∈R
We add all the numbers together, and all the variables
3/(x+8)-(4/(-1x+6))=0
We calculate fractions
(-3x)/((x+8)*(-1x+6)))+(-(4*(x+8))/((x+8)*(-1x+6)))=0
We calculate terms in parentheses: -(4*(x+8))/((x+8)*(-1x+6))), so:
4*(x+8))/((x+8)*(-1x+6))
We multiply all the terms by the denominator
4*(x+8))
We multiply parentheses
4x+
We add all the numbers together, and all the variables
4x
Back to the equation:
-(4x)
We add all the numbers together, and all the variables
-4x+(-3x)/((x+8)*(-1x+6)))+(=0
We multiply all the terms by the denominator
-4x*((x+8)*(-1x+6)))+(+(-3x)=0
We get rid of parentheses
-4x*((x+8)*(-1x+6)))+(-3x=0
We add all the numbers together, and all the variables
-3x-4x*((x+8)*(-1x+6)))+(=0

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