SOLUTION: i need help with algebraic equations using fractions such as 1/3w+6=-2

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Question 219943: i need help with algebraic equations using fractions such as 1/3w+6=-2
Found 2 solutions by vleith, rfer:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%283w%2B6%29=-2 clear the denominator but multiplyih both sides by %283w%2B6%29
1+=+-2%2A%283w%2B6%29 expand the right side using distribution
1+=+-6w+-+12 combine like terms. Add 12 to both sides
13+=+-6w isolate the variable. Divide both sides by -6
-13%2F6+=+w
verify your answer by substiting it into the original equation and verifying the equality.
1%2F%283%2A%28-13%2F6%29%2B6%29+=+-2
1%2F%28%28-13%2F2%29%2B6%29+=+-2
1%2F%28%28-13%2B12%29%2F2%29+=+-2
1%2F%28-1%2F2%29%29+=+-2
-2+=+-2

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/3w+6=-2
subtract 6
1/3x=-8
divide by 3
x=-8/3=-2 2/3