1/2(10-2x)-6=5x+2(x-6)

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Solution for 1/2(10-2x)-6=5x+2(x-6) equation:



1/2(10-2x)-6=5x+2(x-6)
We move all terms to the left:
1/2(10-2x)-6-(5x+2(x-6))=0
Domain of the equation: 2(10-2x)!=0
x∈R
We add all the numbers together, and all the variables
1/2(-2x+10)-(5x+2(x-6))-6=0
We multiply all the terms by the denominator
-((5x+2(x-6)))*2(-2x+10)-6*2(-2x+10)+1=0
We calculate terms in parentheses: -((5x+2(x-6)))*2(-2x+10), so:
(5x+2(x-6)))*2(-2x+10
We add all the numbers together, and all the variables
-2x+(5x+2(x-6)))*2(+10
Back to the equation:
-(-2x+(5x+2(x-6)))*2(+10)
We add all the numbers together, and all the variables
-(-2x+(5x+2(x-6)))*210-6*2(-2x+10)+1=0
Wy multiply elements
-(-2x+(5x+2(x-6)))*210-12x(-+1=0
We use the square of the difference formula
-(-2x+(5x+2(x-6)))*210-12x(-1=0

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