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6/7x-1=1/7x+9
We move all terms to the left:
6/7x-1-(1/7x+9)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 7x+9)!=0We get rid of parentheses
x∈R
6/7x-1/7x-9-1=0
We multiply all the terms by the denominator
-9*7x-1*7x+6-1=0
We add all the numbers together, and all the variables
-9*7x-1*7x+5=0
Wy multiply elements
-63x-7x+5=0
We add all the numbers together, and all the variables
-70x+5=0
We move all terms containing x to the left, all other terms to the right
-70x=-5
x=-5/-70
x=1/14
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