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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)!=0We get rid of parentheses
x∈R
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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