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6x-5=7-3x
We move all terms to the left:
6x-5-(7-3x)=0
We add all the numbers together, and all the variables
6x-(-3x+7)-5=0
We get rid of parentheses
6x+3x-7-5=0
We add all the numbers together, and all the variables
9x-12=0
We move all terms containing x to the left, all other terms to the right
9x=12
x=12/9
x=1+1/3
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