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5x+8-12x=-6x-2x-3

We move all terms to the left:

5x+8-12x-(-6x-2x-3)=0

We add all the numbers together, and all the variables

5x-12x-(-8x-3)+8=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

-7x+8x+3+8=0

We add all the numbers together, and all the variables

x+11=0

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

x=-11

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