in, 7x+6=x-6, how come you subtract 7x and x and -6 and 6

please tell me
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7x+6=x-6.....the idea is tu get all x's on 1 side & all numbers on other side av "="..... . . so subtrakt x from both sides...7x-x+6=(x-x)-6=-6 . . . . bucome 6x+6=-6 . . . . Then du same thang with the numbers . . . 6x=-12 . . . .
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