Respuesta :

renknee

Answer:

-10

Step-by-step explanation:

1. First, let's simplify both sides of the equation.

  • [tex]2x - 10 + 2x = 4x + ?[/tex]
  • [tex]4x - 10 = 4x + ?[/tex]

2. To find the missing value to make the equation have infinitely many solutions, we need to make both sides of the equation equal.

3. Given that information, means that 4x - 10 has to equal 4x + (-10) because:

  • [tex]4x - 10 = 4x + (-10)[/tex]
  • [tex]4x - 10 = 4x - 10[/tex]

4. Now, with the information in #2, let's see if it's true:

  • [tex]4x - 10 = 4x - 10[/tex]
  • [tex]4x - 10 -4x = 4x - 10 - 4x[/tex]
  • [tex]-10 = -10[/tex]
  • [tex]-10+10=-10+10[/tex]
  • [tex]0=0[/tex]
  • (0 = 0 means that the equation has infinitely many solutions)

Therefore, the missing number is -10.

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