Three times the sum of a number and 4 is the same as 18 more than the number what is the number
Mathematics · Middle School · Mon Jan 18 2021
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Given the statement:
Three times the sum of a number and 4 is the same as 18 more than the number
Determine the number.
Solution:
The given statement can be represented by the equation,
3(x + 4) = 18 + x
In order to determine the number, we simply needed to solve for x, the first step is to distribute 3 to each value inside the parentehsis, and then combine similar terms.
3x + 12 = 18 + x
Transpose x and 12 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3x -x = 18 - 12
2x = 6
Divide both sides by 2 in order to determine the value of x.
2x/2 = 6/2
x = 3
Final answer:
x= 3