5/2x-4=3/2x+6

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Solution for 5/2x-4=3/2x+6 equation: 



5/2x-4=3/2x+6

We move all terms to the left:

5/2x-4-(3/2x+6)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+6)!=0

x∈R



We get rid of parentheses

5/2x-3/2x-6-4=0

We multiply all the terms by the denominator


-6*2x-4*2x+5-3=0

We add all the numbers together, and all the variables

-6*2x-4*2x+2=0

Wy multiply elements

-12x-8x+2=0

We add all the numbers together, and all the variables

-20x+2=0

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

-20x=-2

x=-2/-20

x=1/10

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