1/2*x-3=3/2*x+4

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



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

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

-4*2x-3*2x-2=0

Wy multiply elements

-8x-6x-2=0

We add all the numbers together, and all the variables

-14x-2=0

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

-14x=2

x=2/-14

x=-1/7

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