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5x+3=7x+6
We move all terms to the left:
5x+3-(7x+6)=0
We get rid of parentheses
5x-7x-6+3=0
We add all the numbers together, and all the variables
-2x-3=0
We move all terms containing x to the left, all other terms to the right
-2x=3
x=3/-2
x=-1+1/2
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