2z/z+3=2+3/z-10

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Solution for 2z/z+3=2+3/z-10 equation:



2z/z+3=2+3/z-10
We move all terms to the left:
2z/z+3-(2+3/z-10)=0
Domain of the equation: z!=0
z∈R
Domain of the equation: z-10)!=0
z∈R
We add all the numbers together, and all the variables
2z/z-(3/z-8)+3=0
We get rid of parentheses
2z/z-3/z+8+3=0
We multiply all the terms by the denominator
2z+8*z+3*z-3=0
We add all the numbers together, and all the variables
13z-3=0
We move all terms containing z to the left, all other terms to the right
13z=3
z=3/13
z=3/13

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