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x-6/x+x-5/x+7=2x-12
We move all terms to the left:
x-6/x+x-5/x+7-(2x-12)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
2x-6/x-5/x-(2x-12)+7=0
We get rid of parentheses
2x-6/x-5/x-2x+12+7=0
We multiply all the terms by the denominator
2x*x-2x*x+12*x+7*x-6-5=0
We add all the numbers together, and all the variables
19x+2x*x-2x*x-11=0
Wy multiply elements
2x^2-2x^2+19x-11=0
We add all the numbers together, and all the variables
19x-11=0
We move all terms containing x to the left, all other terms to the right
19x=11
x=11/19
x=11/19
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