1/2x-3=3/2x+14

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Solution for 1/2x-3=3/2x+14 equation:



1/2x-3=3/2x+14
We move all terms to the left:
1/2x-3-(3/2x+14)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+14)!=0
x∈R
We get rid of parentheses
1/2x-3/2x-14-3=0
We multiply all the terms by the denominator
-14*2x-3*2x+1-3=0
We add all the numbers together, and all the variables
-14*2x-3*2x-2=0
Wy multiply elements
-28x-6x-2=0
We add all the numbers together, and all the variables
-34x-2=0
We move all terms containing x to the left, all other terms to the right
-34x=2
x=2/-34
x=-1/17

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