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x/x+1=-25/9x+5
We move all terms to the left:
x/x+1-(-25/9x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 9x+5)!=0We get rid of parentheses
x∈R
x/x+25/9x-5+1=0
Fractions to decimals
25/9x-5+1+1=0
We multiply all the terms by the denominator
-5*9x+1*9x+1*9x+25=0
Wy multiply elements
-45x+9x+9x+25=0
We add all the numbers together, and all the variables
-27x+25=0
We move all terms containing x to the left, all other terms to the right
-27x=-25
x=-25/-27
x=25/27
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