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2x+6=5(8-2x)-2
We move all terms to the left:
2x+6-(5(8-2x)-2)=0
We add all the numbers together, and all the variables
2x-(5(-2x+8)-2)+6=0
We calculate terms in parentheses: -(5(-2x+8)-2), so:We get rid of parentheses
5(-2x+8)-2
We multiply parentheses
-10x+40-2
We add all the numbers together, and all the variables
-10x+38
Back to the equation:
-(-10x+38)
2x+10x-38+6=0
We add all the numbers together, and all the variables
12x-32=0
We move all terms containing x to the left, all other terms to the right
12x=32
x=32/12
x=2+2/3
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