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$\fraction{x}{6} + 5 = \fraction{1}{3} - x $
Solve for x
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x+30=2-6x
Multiply both sides of the equation by 6, the least common multiple of 6,3.
x+30+6x=2
Add 6x to both sides.
7x+30=2
Combine x and 6x to get 7x.
7x=2-30
Subtract 30 from both sides.
7x=-28
Subtract 30 from 2 to get -28.
x=\frac{-28}{7}
Divide both sides by 7.
x=-4
Divide -28 by 7 to get -4.