1/2r-3=3/2r+4

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Solution for 1/2r-3=3/2r+4 equation: 



1/2r-3=3/2r+4

We move all terms to the left:

1/2r-3-(3/2r+4)=0



Domain of the equation: 2r!=0

r!=0/2

r!=0

r∈R





Domain of the equation: 2r+4)!=0

r∈R



We get rid of parentheses

1/2r-3/2r-4-3=0

We multiply all the terms by the denominator


-4*2r-3*2r+1-3=0

We add all the numbers together, and all the variables

-4*2r-3*2r-2=0

Wy multiply elements

-8r-6r-2=0

We add all the numbers together, and all the variables

-14r-2=0

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

-14r=2

r=2/-14

r=-1/7

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