1/2x-6=10-3/2x

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Solution for 1/2x-6=10-3/2x equation:



1/2x-6=10-3/2x
We move all terms to the left:
1/2x-6-(10-3/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
1/2x-(-3/2x+10)-6=0
We get rid of parentheses
1/2x+3/2x-10-6=0
We multiply all the terms by the denominator
-10*2x-6*2x+1+3=0
We add all the numbers together, and all the variables
-10*2x-6*2x+4=0
Wy multiply elements
-20x-12x+4=0
We add all the numbers together, and all the variables
-32x+4=0
We move all terms containing x to the left, all other terms to the right
-32x=-4
x=-4/-32
x=1/8

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