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