Respuesta :

Answers:

[tex]\boxed{C,~5(x-2)+4=2x-6+3x}[/tex]

Solution Steps:

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1.) [tex]\bold{2x+4=3(2x+1)}[/tex]:

  • This is a solvable equation where x has a specific number. This means x can only be equal to one thing, otherwise it would make the problem untrue.
  • [tex]x=\frac{1}{4},0.25[/tex]

2.) [tex]\bold{3(2x+1)-2=8x+1-2x}[/tex]:

  • This is a solvable equation where x has a specific number. This means x can only be equal to one thing, otherwise it would make the problem untrue.
  • [tex]x=-\frac{1}{2},-0.5,1[/tex]

3.) [tex]\bold{5(x-2)+4=2x-6+3x}[/tex]:

  • When you solve this, x could equal anything, meaning it has infinite solutions.
  • [tex]x=[/tex] (- ∞, ∞)

4.) [tex]\bold{2x(x-4)+5x=7x+5}[/tex]:

  • You can't solve this. No matter what you put for x, it wouldn't make the equation true. So this means it has no solutions.
  • [tex]x=[/tex] Nothing.

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