The numbers are a bit ugly, but the equation can be solved as is.
... 1.2x/3.6 + (0.2/3.6) = 0.5x/9 . . . . use the distributive property on the left
... x(1/3 -1/18) + 1/18 = 0 . . . . . subtract the right side, simplify fractions
... x(6/18 -1/18) = -1/18 . . . . . . . use 18 for common denominator
... 5x = -1 . . . . . . . . . . . . . . . . . multiply by 18
... x = -1/5 . . . . . . . . . . . . . . . . divide by 5
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You can eliminate decimals and fractions by multiplying the given equation by 18.
... 6x +1 = x
... 5x +1 = 0
... 5x = -1
... x = -1/5
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The fraction simplification can work like this:
... 0.2/3.6 = 2/36 = 1/18
... 0.5/9 = (1/2)/9 = 1/(2·9) = 1/18 . . . . or . . . . (0.5)/9 × (2/2) = (0.5·2)/(9·2) = 1/18
