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4x+3=6+5x
We move all terms to the left:
4x+3-(6+5x)=0
We add all the numbers together, and all the variables
4x-(5x+6)+3=0
We get rid of parentheses
4x-5x-6+3=0
We add all the numbers together, and all the variables
-1x-3=0
We move all terms containing x to the left, all other terms to the right
-x=3
x=3/-1
x=-3
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