Answer:
The missing value is 3
Step-by-step explanation:
Let the missing value be k.
Then the equation is:
[tex]2(x - 3) = 2(4x - k) - 6x[/tex]
Let us expand the parenthesis to obtain:
[tex]2x - 6 = 8x - 2k - 6x[/tex]
Regroup on the right to get:
[tex]2x - 6 = 8x - 6x - 2k[/tex]
Simplify the RHS to get:
[tex]2x - 6 = 2x - 2k[/tex]
Comparing constant terms, we must have
[tex] - 6 = - 2k[/tex]
[tex]k = \frac{ - 6}{ - 2} = 3[/tex]
Therefore the missing value is 3
