1/2x-5=3x+2-1/2

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Solution for 1/2x-5=3x+2-1/2 equation:



1/2x-5=3x+2-1/2
We move all terms to the left:
1/2x-5-(3x+2-1/2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
1/2x-(3x-1/2+2)-5=0
We get rid of parentheses
1/2x-3x-2-5+1/2=0
We calculate fractions
-3x-2-5=0
We add all the numbers together, and all the variables
-3x-7=0
We move all terms containing x to the left, all other terms to the right
-3x=7
x=7/-3
x=-2+1/3

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