what is the value of x, when -9(x-5)=x+22 1/2
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the numerical statement:
-9 ( x - 5 ) = x + 22.5
Determine the value of x.
Solution:
In order to determine the value of x, we simply need to distribute -9 to each value inside the parenthesis, hence after distribution, we can proceed by combining like terms.
-9 ( x - 5 ) = x + 22.5
-9x + 45 = x + 22.5
Transpose -9x and 22.5 to the opposite sides of the equation. It must be taken to note that in transposing numbers, the sign changes.
45 - 22.5 = x + 9x
22.5 = 10x
Divide both sides by 10 in order to cancel out 10x, leaving behind x.
10x/10 = 22.5/10
x = 2.25
Final answer:
x = 2.25