x/3 + x/2 = 1
Multiply both sides by 3:
x + (3x/2) = 3
Multiply both sides by 2:
2x + 3x = 6
Combine like terms:
5x = 6
Divide both sides by 5:
x = 6/5
Another route:
x/3 + x/2 = 1
Find a common denominator (2 times 3 is 6)
(2x/6) + (3x/6) = 1
Combine like terms:
(5x/6) = (5/6)x = 1
Divide both sides by (5/6) (Can also be thought of as multiplying by 6 and dividing by 5.)
x = 6/5
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