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((x+2)+(x+6))/2x=32
We move all terms to the left:
((x+2)+(x+6))/2x-(32)=0
Domain of the equation: 2x!=0We multiply all the terms by the denominator
x!=0/2
x!=0
x∈R
((x+2)+(x+6))-32*2x=0
We calculate terms in parentheses: +((x+2)+(x+6)), so:Wy multiply elements
(x+2)+(x+6)
We get rid of parentheses
x+x+2+6
We add all the numbers together, and all the variables
2x+8
Back to the equation:
+(2x+8)
(2x+8)-64x=0
We get rid of parentheses
2x-64x+8=0
We add all the numbers together, and all the variables
-62x+8=0
We move all terms containing x to the left, all other terms to the right
-62x=-8
x=-8/-62
x=4/31
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