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3x-5=9-x
We move all terms to the left:
3x-5-(9-x)=0
We add all the numbers together, and all the variables
3x-(-1x+9)-5=0
We get rid of parentheses
3x+1x-9-5=0
We add all the numbers together, and all the variables
4x-14=0
We move all terms containing x to the left, all other terms to the right
4x=14
x=14/4
x=3+1/2
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