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

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



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

We move all terms to the left:

2/x+5-5/2x-(7/x+5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: x+5)!=0

x∈R



We get rid of parentheses

2/x-5/2x-7/x-5+5=0

We calculate fractions


(-14x+2)/2x^2+(-5x)/2x^2-5+5=0

We add all the numbers together, and all the variables

(-14x+2)/2x^2+(-5x)/2x^2=0

We multiply all the terms by the denominator


(-14x+2)+(-5x)=0

We get rid of parentheses

-14x-5x+2=0

We add all the numbers together, and all the variables

-19x+2=0

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

-19x=-2

x=-2/-19

x=2/19

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