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5/7x+11=6/7x-1
We move all terms to the left:
5/7x+11-(6/7x-1)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 7x-1)!=0We get rid of parentheses
x∈R
5/7x-6/7x+1+11=0
We multiply all the terms by the denominator
1*7x+11*7x+5-6=0
We add all the numbers together, and all the variables
1*7x+11*7x-1=0
Wy multiply elements
7x+77x-1=0
We add all the numbers together, and all the variables
84x-1=0
We move all terms containing x to the left, all other terms to the right
84x=1
x=1/84
x=1/84
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