Twice the difference of a number 7 and is 3 .
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the numerical statement:
Twice the difference of a number and 7 is 3
Determine the number.
Solution:
The given numerical statement can be written as,
2 (x - 7) = 3
In order to find for the missing number, we simply need to solve for the value of x. The first step is to distribute the value of 2 to each value inside the parenthesis.
2 ( x -7 ) = 3
2x - 14 = 3
Tranpose -14 on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
2x = 3 + 14
2x = 17
Divide both sides by 2 in order to cancel out 2x, leaving behind x.
2x/2 = 17/2
x = 17/2 or 8.5
Final answer:
x = 17/2 or 8.5