3(2x-4)+6=2(-x+12)+10

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Solution for 3(2x-4)+6=2(-x+12)+10 equation:



3(2x-4)+6=2(-x+12)+10
We move all terms to the left:
3(2x-4)+6-(2(-x+12)+10)=0
We add all the numbers together, and all the variables
3(2x-4)-(2(-1x+12)+10)+6=0
We multiply parentheses
6x-(2(-1x+12)+10)-12+6=0
We calculate terms in parentheses: -(2(-1x+12)+10), so:
2(-1x+12)+10
We multiply parentheses
-2x+24+10
We add all the numbers together, and all the variables
-2x+34
Back to the equation:
-(-2x+34)
We add all the numbers together, and all the variables
6x-(-2x+34)-6=0
We get rid of parentheses
6x+2x-34-6=0
We add all the numbers together, and all the variables
8x-40=0
We move all terms containing x to the left, all other terms to the right
8x=40
x=40/8
x=5

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