1*1/2z-2=3*1/2z-9

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Solution for 1*1/2z-2=3*1/2z-9 equation: 



1*1/2z-2=3*1/2z-9

We move all terms to the left:

1*1/2z-2-(3*1/2z-9)=0



Domain of the equation: 2z!=0

z!=0/2

z!=0

z∈R





Domain of the equation: 2z-9)!=0

z∈R



We get rid of parentheses

1*1/2z-3*1/2z+9-2=0

We multiply all the terms by the denominator


9*2z-2*2z+1*1-3*1=0

We add all the numbers together, and all the variables

9*2z-2*2z-2=0

Wy multiply elements

18z-4z-2=0

We add all the numbers together, and all the variables

14z-2=0

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

14z=2

z=2/14

z=1/7

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