1/7x+19=6/7x-31

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Solution for 1/7x+19=6/7x-31 equation:



1/7x+19=6/7x-31
We move all terms to the left:
1/7x+19-(6/7x-31)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 7x-31)!=0
x∈R
We get rid of parentheses
1/7x-6/7x+31+19=0
We multiply all the terms by the denominator
31*7x+19*7x+1-6=0
We add all the numbers together, and all the variables
31*7x+19*7x-5=0
Wy multiply elements
217x+133x-5=0
We add all the numbers together, and all the variables
350x-5=0
We move all terms containing x to the left, all other terms to the right
350x=5
x=5/350
x=1/70

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