Respuesta :

Given:

The given equation is,

[tex]3x-19+(?)x=-5x-19[/tex]

Required:

To find the missing value.

Answer:

The given equation is,

[tex]\begin{gathered} 3x-19+(?)x=-5x-19 \\ \end{gathered}[/tex]

By putting (-8) in place of (?) in the given equation, we get,

[tex]\begin{gathered} 3x-19+(-8)x=-5x-19 \\ \Rightarrow3x-19-8x=-5x-19 \\ \Rightarrow-5x-19=-5x-19 \\ \Rightarrow-19=-19 \end{gathered}[/tex]

This shows that the given equation has infinitely many solutions.

Final Answer:

The missing value is -8.

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