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5x-8/x-2+6x-44/x-7-10x-8/x-1=x-8/x-6
We move all terms to the left:
5x-8/x-2+6x-44/x-7-10x-8/x-1-(x-8/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0We add all the numbers together, and all the variables
x∈R
x-8/x-44/x-8/x-(x-8/x-6)-10=0
We get rid of parentheses
x-8/x-44/x-8/x-x+8/x+6-10=0
We multiply all the terms by the denominator
x*x-x*x+6*x-10*x-8-44-8+8=0
We add all the numbers together, and all the variables
-4x+x*x-x*x-52=0
Wy multiply elements
x^2-1x^2-4x-52=0
We add all the numbers together, and all the variables
-4x-52=0
We move all terms containing x to the left, all other terms to the right
-4x=52
x=52/-4
x=-13
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