x-1/2x+4=6/6+1x

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Solution for x-1/2x+4=6/6+1x equation:



x-1/2x+4=6/6+1x
We move all terms to the left:
x-1/2x+4-(6/6+1x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 6+1x)!=0
We move all terms containing x to the left, all other terms to the right
1x)!=-6
x!=-6/1
x!=-6
x∈R
We add all the numbers together, and all the variables
x-1/2x-(x+1)+4=0
We get rid of parentheses
x-1/2x-x-1+4=0
We multiply all the terms by the denominator
x*2x-x*2x-1*2x+4*2x-1=0
Wy multiply elements
2x^2-2x^2-2x+8x-1=0
We add all the numbers together, and all the variables
6x-1=0
We move all terms containing x to the left, all other terms to the right
6x=1
x=1/6
x=1/6

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