Final answer:
To find the number, let's represent it with the variable 'x'. The given information states that the sum of twice the number and 18 is 5 less than three times the number. By solving the equation 2x + 18 = 3x - 5, we find that the number is 23.
Step-by-step explanation:
To find the number, let's represent it with the variable 'x'. The given information states that the sum of twice the number and 18 is 5 less than three times the number. We can translate this into an equation as follows:
2x + 18 = 3x - 5
To solve this equation, we need to isolate the variable 'x' on one side. We can do this by subtracting 2x from both sides:
2x - 2x + 18 = 3x - 2x - 5
Simplifying the equation:
18 = x - 5
Next, we can add 5 to both sides to isolate 'x':
18 + 5 = x - 5 + 5
Simplifying the equation:
23 = x
Therefore, the number is 23.