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6x+8=15x-3
We move all terms to the left:
6x+8-(15x-3)=0
We get rid of parentheses
6x-15x+3+8=0
We add all the numbers together, and all the variables
-9x+11=0
We move all terms containing x to the left, all other terms to the right
-9x=-11
x=-11/-9
x=1+2/9
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