Question 1041726
Fractions are generally a pain. So if they are found in equations, it's usually a good idea to clear them out.


Multiplying both sides by 6 will clear them out since 6 is the LCD (lowest common denominator)


Notice how 6*(1/6) = 6/6 = 1. So that fraction goes away
Also, notice how 6*(2/3) = 12/3 = 4. That fraction goes away as well.


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So (1/6)x + 3 = (2/3)x turns into x + 18 = 4x. The two equations are equivalent


Hopefully you agree that x + 18 = 4x is much simpler compared to (1/6)x + 3 = (2/3)x