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

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



1/2x-3=-1/2x+2
We move all terms to the left:
1/2x-3-(-1/2x+2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+2)!=0
x∈R
We get rid of parentheses
1/2x+1/2x-2-3=0
We multiply all the terms by the denominator
-2*2x-3*2x+1+1=0
We add all the numbers together, and all the variables
-2*2x-3*2x+2=0
Wy multiply elements
-4x-6x+2=0
We add all the numbers together, and all the variables
-10x+2=0
We move all terms containing x to the left, all other terms to the right
-10x=-2
x=-2/-10
x=1/5

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