2-4/5z=1/5z+6

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Solution for 2-4/5z=1/5z+6 equation: 



2-4/5z=1/5z+6

We move all terms to the left:

2-4/5z-(1/5z+6)=0



Domain of the equation: 5z!=0

z!=0/5

z!=0

z∈R





Domain of the equation: 5z+6)!=0

z∈R



We get rid of parentheses

-4/5z-1/5z-6+2=0

We multiply all the terms by the denominator


-6*5z+2*5z-4-1=0

We add all the numbers together, and all the variables

-6*5z+2*5z-5=0

Wy multiply elements

-30z+10z-5=0

We add all the numbers together, and all the variables

-20z-5=0

We move all terms containing z to the left, all other terms to the right

-20z=5

z=5/-20

z=-1/4

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