10/x+5=2/x-3

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Solution for 10/x+5=2/x-3 equation: 



10/x+5=2/x-3

We move all terms to the left:

10/x+5-(2/x-3)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-3)!=0

x∈R



We get rid of parentheses

10/x-2/x+3+5=0

We multiply all the terms by the denominator


3*x+5*x+10-2=0

We add all the numbers together, and all the variables

8x+8=0

We move all terms containing x to the left, all other terms to the right

8x=-8

x=-8/8

x=-1

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