x+5(x+2)/x-1=x+3

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Solution for x+5(x+2)/x-1=x+3 equation:



x+5(x+2)/x-1=x+3
We move all terms to the left:
x+5(x+2)/x-1-(x+3)=0
Domain of the equation: x!=0
x∈R
We get rid of parentheses
x+5(x+2)/x-x-3-1=0
We multiply all the terms by the denominator
x*x+5(x+2)-x*x-3*x-1*x=0
We add all the numbers together, and all the variables
-4x+x*x+5(x+2)-x*x=0
We multiply parentheses
-4x+x*x+5x-x*x+10=0
Wy multiply elements
x^2-1x^2-4x+5x+10=0
We add all the numbers together, and all the variables
x+10=0
We move all terms containing x to the left, all other terms to the right
x=-10

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