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6-7x=-2x+8-3

We move all terms to the left:

6-7x-(-2x+8-3)=0

We add all the numbers together, and all the variables

-7x-(-2x+5)+6=0

We get rid of parentheses

-7x+2x-5+6=0

We add all the numbers together, and all the variables

-5x+1=0

We move all terms containing x to the left, all other terms to the right

-5x=-1

x=-1/-5

x=1/5

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