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4x+6=x-3=
We move all terms to the left:
4x+6-(x-3)=0
We get rid of parentheses
4x-x+3+6=0
We add all the numbers together, and all the variables
3x+9=0
We move all terms containing x to the left, all other terms to the right
3x=-9
x=-9/3
x=-3
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