4-7/x-5=1/x+2

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Solution for 4-7/x-5=1/x+2 equation:



4-7/x-5=1/x+2
We move all terms to the left:
4-7/x-5-(1/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0
x∈R
We add all the numbers together, and all the variables
-7/x-(1/x+2)-1=0
We get rid of parentheses
-7/x-1/x-2-1=0
We multiply all the terms by the denominator
-2*x-1*x-7-1=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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