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

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



2(x-3)+3(2x-4)=(4x+1)-3(4x-1)
We move all terms to the left:
2(x-3)+3(2x-4)-((4x+1)-3(4x-1))=0
We multiply parentheses
2x+6x-((4x+1)-3(4x-1))-6-12=0
We calculate terms in parentheses: -((4x+1)-3(4x-1)), so:
(4x+1)-3(4x-1)
We multiply parentheses
(4x+1)-12x+3
We get rid of parentheses
4x-12x+1+3
We add all the numbers together, and all the variables
-8x+4
Back to the equation:
-(-8x+4)
We add all the numbers together, and all the variables
8x-(-8x+4)-18=0
We get rid of parentheses
8x+8x-4-18=0
We add all the numbers together, and all the variables
16x-22=0
We move all terms containing x to the left, all other terms to the right
16x=22
x=22/16
x=1+3/8

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