Respuesta :

Answer:

46

Step-by-step explanation:

-5(-2-5)-x-1=-12

-5(-7)-x-1=- 12

35 - x - 1 = -12

34 - x = -12

-x = -12 - (-34)

-x = - 46

x = 46

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]-5\left(-2-5\right)-x-1=-12[/tex]

⟹ Subtract -2 and 5 = -7

  • [tex]5\left(-2-5\right)[/tex]
  • [tex]5\left(-7\right)[/tex]

⟹ Remover parentheses:

  • [tex]5\times7[/tex]
  • [tex]-35[/tex]

[tex]-\left(-35\right)-x-1=-12[/tex]

⟹ Apply rule: [tex]-\left(-a\right)=a[/tex]

[tex]35-x-1=-12[/tex]

⟹ Combine like terms:

  • [tex]-x+35-1=-12[/tex]
  • [tex]\:35-1=34[/tex]
  • [tex]-x+34=-12[/tex]

⟹ Subtract 34 from both sides:

  • [tex]-x+34-34=-12-34[/tex]
  • [tex]-x=-46[/tex]

⟹ Divide both sides by -1:

  • [tex]\frac{-x}{-1}=\frac{-46}{-1}[/tex]
  • [tex]x=46[/tex]

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