Seven less than three times a number is 23. Find the number.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
Seven less than three times a number is 23.
Find the number.
Solution:
The equation can be represented as,
3x - 7 = 23
In order to find the number, we solve for x. Transpose -7 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3x = 23 + 7
3x = 30
Divide both sides by 3 in order to determine the value of x.
3x/3 = 30/3
x = 10
Check:
3(10) - 7 = 23
30 - 7 = 23
23 = 23
Final answer:
x = 10