Answer:
The box should be replaced with 3
Step-by-step explanation:
Represent the box with n
Given
[tex]n(x - 3) + 2x = -(x - 5) + 4[/tex]
Required
Determine the value of n
[tex]n(x - 3) + 2x = -(x - 5) + 4[/tex]
Open Bracket:
[tex]n(x - 3) + 2x = -x + 5 + 4[/tex]
[tex]n(x - 3) + 2x = -x + 9[/tex]
Collect Like Terms
[tex]n(x - 3) = -2x-x + 9[/tex]
[tex]n(x - 3) = -3x + 9[/tex]
Factorize the expression on the left hand side
[tex]n(x - 3) = -3(x - 3)[/tex]
Divide both sides by x - 3
[tex]n = 3[/tex]
Hence:
The box should be replaced with 3
