Three less than three times a number is 5/6. What is one more than twice the number

32/9

Step-by-step explanation:

Translating the word problem into a symbolic equation yields:

3n - 3 = 5/6

Solve this for the number (n):

Multiplying both sides of this equation by 6 clears out the fraction term:

18n - 18 = 5

Adding 18 to both sides isolates 18n: 18n = 23

Then the number is n = 23/18, and:

one more than twice this number n is 2 (23/18) + 1, or:

46/18 + 18/18, or 64/18, or (reducing this result)

32/9