3x+1/7=17/7-x

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Solution for 3x+1/7=17/7-x equation:



3x+1/7=17/7-x
We move all terms to the left:
3x+1/7-(17/7-x)=0
Domain of the equation: 7-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-7
x!=-7/1
x!=-7
x∈R
We add all the numbers together, and all the variables
3x-(-1x+17/7)+1/7=0
We get rid of parentheses
3x+1x-17/7+1/7=0
We multiply all the terms by the denominator
3x*7+1x*7-17+1=0
We add all the numbers together, and all the variables
3x*7+1x*7-16=0
Wy multiply elements
21x+7x-16=0
We add all the numbers together, and all the variables
28x-16=0
We move all terms containing x to the left, all other terms to the right
28x=16
x=16/28
x=4/7

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