Respuesta :

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{-5x -10= -20}\\\\\large\text{ADD 10 to BOTH SIDES}\\\mathsf{-5x - 10 + 10 = -20 + 10}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{-5x = -20 + 10}\\\mathsf{-5x = -10}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\mathsf{\dfrac{-5x}{-5}= \dfrac{-10}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{x = \dfrac{-10}{-5}}\\\\\mathsf{x = 2}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ A. \ 2}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

  • Option a ( 2 ) is the answer

Step-by-step explanation:

In this question we are given with an equation that is -5x - 10 = -20 . And we are asked to find it's solution ( value of x ).

Solution : -

[tex] \longmapsto \qquad \: - 5x - 10 = - 20[/tex]

Step 1 : Adding 10 to both sides :

[tex] \longmapsto \qquad \: - 5x - \cancel{10 }+ \cancel{10} = - \bold{20 }+ \bold{10}[/tex]

On further calculations , We get :

[tex] \longmapsto \qquad \: - 5x = - 10[/tex]

Step 2 : Dividing with -5 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{- 5}x}{ \cancel{- 5}} = \cancel{ \dfrac{ - 10}{ - 5} }[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: \ \: \pink{\underline{ \boxed{\frak{x = 2}}}}[/tex]

  • Henceforth , value of x is 2 that means option a is correct .

Verifying : -

Now we're verifying our answer by substituting value of x in given equation. So ,

  • -5x - 10 = -20

  • -5 ( 2 ) - 10 = -20

  • -10 - 10 = -20

  • -20 = -20

  • L.H.S = R.H.S

  • Hence , Verified .

Therefore , our answer is correct .

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