You can look at all the fractions and form the least common multiple of their denominators.
6.2 = 6 1/5 has a denominator of 5
÷ (2x+1) puts (2x+1) in the denominator
2 1/3 has a denominator of 3
÷ 4 puts 4 in the denominator
These denominators have no common factors, so the least common multiple of 5, (2x+1), 3, and 4 is their product: 60(2x+1). Multiply the equation by this value.
The solution is x = 337/70.