Question

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

Answer 1

46

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 2

`x=46`

Explanation:

`-5\left(-2-5\right)-x-1=-12`

⟹ Subtract -2 and 5 = -7

• 
  `5\left(-2-5\right)`

• 
  `5\left(-7\right)`

⟹ Remover parentheses:

• 
  `5*7`

• 
  `-35`

`-\left(-35\right)-x-1=-12`

⟹ Apply rule:
`-\left(-a\right)=a`

`35-x-1=-12`

⟹ Combine like terms:

• 
  `-x+35-1=-12`

• 
  `\:35-1=34`

• 
  `-x+34=-12`

⟹ Subtract 34 from both sides:

• 
  `-x+34-34=-12-34`

• 
  `-x=-46`

⟹ Divide both sides by -1:

• 
  `(-x)/(-1)=(-46)/(-1)`

• 
  `x=46`

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