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6x-5=47-7x
We move all terms to the left:
6x-5-(47-7x)=0
We add all the numbers together, and all the variables
6x-(-7x+47)-5=0
We get rid of parentheses
6x+7x-47-5=0
We add all the numbers together, and all the variables
13x-52=0
We move all terms containing x to the left, all other terms to the right
13x=52
x=52/13
x=4
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