6-2(3x+1)=4(2x+)-(5x-2)

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Solution for 6-2(3x+1)=4(2x+)-(5x-2) equation:



6-2(3x+1)=4(2x+)-(5x-2)
We move all terms to the left:
6-2(3x+1)-(4(2x+)-(5x-2))=0
We add all the numbers together, and all the variables
-2(3x+1)-(4(+2x)-(5x-2))+6=0
We multiply parentheses
-6x-(4(+2x)-(5x-2))-2+6=0
We calculate terms in parentheses: -(4(+2x)-(5x-2)), so:
4(+2x)-(5x-2)
We multiply parentheses
8x-(5x-2)
We get rid of parentheses
8x-5x+2
We add all the numbers together, and all the variables
3x+2
Back to the equation:
-(3x+2)
We add all the numbers together, and all the variables
-6x-(3x+2)+4=0
We get rid of parentheses
-6x-3x-2+4=0
We add all the numbers together, and all the variables
-9x+2=0
We move all terms containing x to the left, all other terms to the right
-9x=-2
x=-2/-9
x=2/9

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