Answer: x = 5/7
Step-by-step explanation: 2x/3 + x/2 =5/6
To use a least common denominator, divide LCD by the original denominator and multiply the original numerator by the result.
for 2x/3 6÷3=2 2×2x=4x so that becomes 4x/6
for x/2 6÷2=3 3× (invisible) 1 = 3x, so that becomes 3x/6
combine 4x/6 + 3x/6 = 7x/6
Back to the original equation, substituting the calculated term:
7x/6 = 5/6 Multiply both sides by 6 to simplify (6)(7x/6) = (6)(5/6) 6's "cancel"
7x = 5 . Divide both sides by 7 to solve for x 7x/7 = 5/7
x = 5/7