Answer:
The number is 18
Step-by-step explanation:
Let the number be represented by x
The sum of the number and 3 = x + 3
Twice the sum of the number and 3 = 2(x + 3)
The difference of the number and 4 = x - 4
Three times the difference of the number and 4 = 3(x - 4)
Twice the sum of the number and 3 = Three times the difference of the number and 4
2(x + 3) = 3(x - 4)
2x + 6 = 3x - 12
Collect like terms
3x - 2x = 6 + 12
x = 18
The number is 18