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0.1(x+8)-0.5x=0.2(2x-6)+5.2
We move all terms to the left:
0.1(x+8)-0.5x-(0.2(2x-6)+5.2)=0
We add all the numbers together, and all the variables
-0.5x+0.1(x+8)-(0.2(2x-6)+5.2)=0
We multiply parentheses
-0.5x+0.1x-(0.2(2x-6)+5.2)+0.8=0
We calculate terms in parentheses: -(0.2(2x-6)+5.2), so:We add all the numbers together, and all the variables
0.2(2x-6)+5.2
We multiply parentheses
0.4x-1.2+5.2
We add all the numbers together, and all the variables
0.4x+4
Back to the equation:
-(0.4x+4)
-0.4x-(0.4x+4)+0.8=0
We get rid of parentheses
-0.4x-0.4x-4+0.8=0
We add all the numbers together, and all the variables
-0.8x-3.2=0
We move all terms containing x to the left, all other terms to the right
-0.8x=3.2
x=3.2/-0.8
x=-4
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