Respuesta :

Combine like terms
2x-6=2x-6

Get variable to one side
-6=-6

Infinite solutions

Answer:

The equation has infinity many solution.

Step-by-step explanation:

Consider the provided expression.

[tex]2x-6=3x+1-x-7[/tex]

Arrange the like terms together.

[tex]2x-6=3x-x+1-7[/tex]

Subtract the like terms

[tex]2x-6=2x-6[/tex]

Isolate the variables.

Add 6 to the both side.

[tex]2x-6+6=2x-6+6[/tex]

[tex]2x=2x[/tex]

Now subtract 2x from both side.

[tex]2x-2x=2x-2x[/tex]

[tex]0=0[/tex]

Which is true. The Equation is always true

Thus, the equation has infinity many solution.