what is the solution to the equation represented by the model below?
x= -14
x= -2
x= 2
x= 14
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Answer:
C
Step-by-step explanation:
On the left, we have 3 positive x bars and 8 1s.
Hence, the left can be represented by the following expression:
[tex]3x+8[/tex]
On the right, we have 4 positive x bars and 6 1s.
Hence, the right can be represented by the following expression:
[tex]4x+6[/tex]
The two are equivalent. Therefore:
[tex]3x+8=4x+6[/tex]
Solve for x. Subtract 6 from both sides:
[tex]3x+2=4x[/tex]
Subtract 3x from both sides:
[tex]2=x[/tex]
Flip:
[tex]x=2[/tex]
Hence, our answer is C.