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2x+4.7=5x-5.2
We move all terms to the left:
2x+4.7-(5x-5.2)=0
We get rid of parentheses
2x-5x+5.2+4.7=0
We add all the numbers together, and all the variables
-3x+9.9=0
We move all terms containing x to the left, all other terms to the right
-3x=-9.9
x=-9.9/-3
x=3+0.9/3
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