((3x-0.5*2)+(3x-0.5*2))+((5x-2)+(5x-2))=((2x+3)*2)+(10x-5))

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Solution for ((3x-0.5*2)+(3x-0.5*2))+((5x-2)+(5x-2))=((2x+3)*2)+(10x-5)) equation:



((3x-0.5*2)+(3x-0.5*2))+((5x-2)+(5x-2))=((2x+3)*2)+(10x-5))
We move all terms to the left:
((3x-0.5*2)+(3x-0.5*2))+((5x-2)+(5x-2))-(((2x+3)*2)+(10x-5)))=0
We add all the numbers together, and all the variables
((3x-1)+(3x-1))+((5x-2)+(5x-2))-(((2x+3)*2)+(10x-5)))=0
We calculate terms in parentheses: +((3x-1)+(3x-1)), so:
(3x-1)+(3x-1)
We get rid of parentheses
3x+3x-1-1
We add all the numbers together, and all the variables
6x-2
Back to the equation:
+(6x-2)
We calculate terms in parentheses: +((5x-2)+(5x-2)), so:
(5x-2)+(5x-2)
We get rid of parentheses
5x+5x-2-2
We add all the numbers together, and all the variables
10x-4
Back to the equation:
+(10x-4)
We calculate terms in parentheses: -(((2x+3)*2)+(10x-5))), so:
((2x+3)*2)+(10x-5))
We get rid of parentheses
((2x+3)*2)+10x-5)
We calculate terms in parentheses: +((2x+3)*2), so:
(2x+3)*2
We multiply parentheses
4x+6
Back to the equation:
+(4x+6)
We add all the numbers together, and all the variables
10x+(4x+6)
We get rid of parentheses
10x+4x+6
We add all the numbers together, and all the variables
14x+6
Back to the equation:
-(14x+6)
We get rid of parentheses
6x+10x-14x-2-4-6=0
We add all the numbers together, and all the variables
2x-12=0
We move all terms containing x to the left, all other terms to the right
2x=12
x=12/2
x=6

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