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

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



1/2x+1=3/2x-9
We move all terms to the left:
1/2x+1-(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+1=0
We multiply all the terms by the denominator
9*2x+1*2x+1-3=0
We add all the numbers together, and all the variables
9*2x+1*2x-2=0
Wy multiply elements
18x+2x-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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