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0.4x+2=5.2x-0.4
We move all terms to the left:
0.4x+2-(5.2x-0.4)=0
We get rid of parentheses
0.4x-5.2x+0.4+2=0
We add all the numbers together, and all the variables
-4.8x+2.4=0
We move all terms containing x to the left, all other terms to the right
-4.8x=-2.4
x=-2.4/-4.8
x=1/2
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