3(x-2)+4(2-6)=6(x-4)+8(2x+1)

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Solution for 3(x-2)+4(2-6)=6(x-4)+8(2x+1) equation:



3(x-2)+4(2-6)=6(x-4)+8(2x+1)
We move all terms to the left:
3(x-2)+4(2-6)-(6(x-4)+8(2x+1))=0
We add all the numbers together, and all the variables
3(x-2)-(6(x-4)+8(2x+1))+4(-4)=0
We add all the numbers together, and all the variables
3(x-2)-(6(x-4)+8(2x+1))-16=0
We multiply parentheses
3x-(6(x-4)+8(2x+1))-6-16=0
We calculate terms in parentheses: -(6(x-4)+8(2x+1)), so:
6(x-4)+8(2x+1)
We multiply parentheses
6x+16x-24+8
We add all the numbers together, and all the variables
22x-16
Back to the equation:
-(22x-16)
We add all the numbers together, and all the variables
3x-(22x-16)-22=0
We get rid of parentheses
3x-22x+16-22=0
We add all the numbers together, and all the variables
-19x-6=0
We move all terms containing x to the left, all other terms to the right
-19x=6
x=6/-19
x=-6/19

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