x-6/x+5=x-3

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Solution for x-6/x+5=x-3 equation:



x-6/x+5=x-3
We move all terms to the left:
x-6/x+5-(x-3)=0
Domain of the equation: x!=0
x∈R
We get rid of parentheses
x-6/x-x+3+5=0
We multiply all the terms by the denominator
x*x-x*x+3*x+5*x-6=0
We add all the numbers together, and all the variables
8x+x*x-x*x-6=0
Wy multiply elements
x^2-1x^2+8x-6=0
We add all the numbers together, and all the variables
8x-6=0
We move all terms containing x to the left, all other terms to the right
8x=6
x=6/8
x=3/4

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