4-x/5+x=5-x/x+1

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Solution for 4-x/5+x=5-x/x+1 equation:



4-x/5+x=5-x/x+1
We move all terms to the left:
4-x/5+x-(5-x/x+1)=0
Domain of the equation: x+1)!=0
x∈R
We add all the numbers together, and all the variables
-x/5+x-(-x/x+6)+4=0
We add all the numbers together, and all the variables
x-x/5-(-x/x+6)+4=0
We get rid of parentheses
x-x/5+x/x-6+4=0
Fractions to decimals
-x/5+x-6+4+1=0
We multiply all the terms by the denominator
-x+x*5-6*5+4*5+1*5=0
We add all the numbers together, and all the variables
-1x+x*5-5=0
Wy multiply elements
-1x+5x-5=0
We add all the numbers together, and all the variables
4x-5=0
We move all terms containing x to the left, all other terms to the right
4x=5
x=5/4
x=1+1/4

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