1/2x-4=3/2x+6

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Solution for 1/2x-4=3/2x+6 equation:



1/2x-4=3/2x+6
We move all terms to the left:
1/2x-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
1/2x-3/2x-6-4=0
We multiply all the terms by the denominator
-6*2x-4*2x+1-3=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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