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1/2x-10=-1/2x+2
We move all terms to the left:
1/2x-10-(-1/2x+2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+2)!=0We get rid of parentheses
x∈R
1/2x+1/2x-2-10=0
We multiply all the terms by the denominator
-2*2x-10*2x+1+1=0
We add all the numbers together, and all the variables
-2*2x-10*2x+2=0
Wy multiply elements
-4x-20x+2=0
We add all the numbers together, and all the variables
-24x+2=0
We move all terms containing x to the left, all other terms to the right
-24x=-2
x=-2/-24
x=1/12
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