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2/7x+51=6/7x-1
We move all terms to the left:
2/7x+51-(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
2/7x-6/7x+1+51=0
We multiply all the terms by the denominator
1*7x+51*7x+2-6=0
We add all the numbers together, and all the variables
1*7x+51*7x-4=0
Wy multiply elements
7x+357x-4=0
We add all the numbers together, and all the variables
364x-4=0
We move all terms containing x to the left, all other terms to the right
364x=4
x=4/364
x=1/91
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