3/x-4=-5/x-7

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Solution for 3/x-4=-5/x-7 equation:



3/x-4=-5/x-7
We move all terms to the left:
3/x-4-(-5/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0
x∈R
We get rid of parentheses
3/x+5/x+7-4=0
We multiply all the terms by the denominator
7*x-4*x+3+5=0
We add all the numbers together, and all the variables
3x+8=0
We move all terms containing x to the left, all other terms to the right
3x=-8
x=-8/3
x=-2+2/3

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