Answer:
The correct option is B.
Step-by-step explanation:
In the given diagram, we have 6 boxes of -x and 6 box of 1 on the left hand side. It means,
[tex]LHS=6(-x)+6(1)=-6x+6[/tex]
We have 2 boxes of x and 9 box of -1 on the right hand side. It means,
[tex]RHS=2(x)+9(-1)=2x-9[/tex]
So, the equation represented by the given diagram is
[tex]-6x+6=2x-9[/tex]
[tex]-6x-2x=-9-6[/tex]
[tex]-8x=-15[/tex]
Dived both sides by -8.
[tex]x=\frac{-15}{-8}[/tex]
[tex]x=\frac{15}{8}[/tex]
The value of x is [tex]\frac{15}{8}[/tex]
Therefore the correct option is B.
