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

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



3(x-2)+4(2x-6)=6(x-4)+8(x-4)+8(2x+1)
We move all terms to the left:
3(x-2)+4(2x-6)-(6(x-4)+8(x-4)+8(2x+1))=0
We multiply parentheses
3x+8x-(6(x-4)+8(x-4)+8(2x+1))-6-24=0
We calculate terms in parentheses: -(6(x-4)+8(x-4)+8(2x+1)), so:
6(x-4)+8(x-4)+8(2x+1)
We multiply parentheses
6x+8x+16x-24-32+8
We add all the numbers together, and all the variables
30x-48
Back to the equation:
-(30x-48)
We add all the numbers together, and all the variables
11x-(30x-48)-30=0
We get rid of parentheses
11x-30x+48-30=0
We add all the numbers together, and all the variables
-19x+18=0
We move all terms containing x to the left, all other terms to the right
-19x=-18
x=-18/-19
x=18/19

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