1/2x+5=3/2x-9

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Solution for 1/2x+5=3/2x-9 equation: 



1/2x+5=3/2x-9

We move all terms to the left:

1/2x+5-(3/2x-9)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We get rid of parentheses

1/2x-3/2x+9+5=0

We multiply all the terms by the denominator


9*2x+5*2x+1-3=0

We add all the numbers together, and all the variables

9*2x+5*2x-2=0

Wy multiply elements

18x+10x-2=0

We add all the numbers together, and all the variables

28x-2=0

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

28x=2

x=2/28

x=1/14

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