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3x+9/10=5x-9/10
We move all terms to the left:
3x+9/10-(5x-9/10)=0
We add all the numbers together, and all the variables
3x-(+5x-9/10)+9/10=0
We get rid of parentheses
3x-5x+9/10+9/10=0
We multiply all the terms by the denominator
3x*10-5x*10+9+9=0
We add all the numbers together, and all the variables
3x*10-5x*10+18=0
Wy multiply elements
30x-50x+18=0
We add all the numbers together, and all the variables
-20x+18=0
We move all terms containing x to the left, all other terms to the right
-20x=-18
x=-18/-20
x=9/10
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