x/4=1/4-x

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Solution for x/4=1/4-x equation:



x/4=1/4-x
We move all terms to the left:
x/4-(1/4-x)=0
Domain of the equation: 4-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-4
x!=-4/1
x!=-4
x∈R
We add all the numbers together, and all the variables
x/4-(-1x+1/4)=0
We get rid of parentheses
x/4+1x-1/4=0
We multiply all the terms by the denominator
x+1x*4-1=0
Wy multiply elements
x+4x-1=0
We add all the numbers together, and all the variables
5x-1=0
We move all terms containing x to the left, all other terms to the right
5x=1
x=1/5
x=1/5

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