Respuesta :

Answer:

[tex]\boxed {x = -19}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3(-x - 3) + x - 3 = 26[/tex]

-Use Distributive Property:

[tex]3(-x - 3) + x - 3 = 26[/tex]

[tex]3(-x ) - 9 + x - 3 = 26[/tex]

-Combine both [tex]-9[/tex] and [tex]3[/tex]:

[tex]3(-x ) - 9 + x - 3 = 26[/tex]

[tex]3(-x ) - 12 + x = 26[/tex]

-Add [tex]12[/tex] to both sides:

[tex]3(-x ) - 12 + 12 + x = 26 + 12[/tex]

[tex]3(-x) + x = 38[/tex]

-Multiply the [tex]-1[/tex] by [tex]3[/tex]:

[tex]3(-x) + x = 38[/tex]

[tex]-3x + x = 38[/tex]

-Combine both the [tex]-3x[/tex] and [tex]x[/tex]:

[tex]-3x + x = 38[/tex]

[tex]-2x = 38[/tex]

-Divide both sides by [tex]-2[/tex]:

[tex]\frac{-2x}{-2} = \frac{38}{-2}[/tex]

[tex]\boxed {x = -19}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

When we have a problem with parenthesis we must use distributive property:

  • [tex]3[/tex] × [tex]-x-3[/tex]
  • The [tex]3[/tex] cancels out, leaving [tex]-x[/tex]

         * [tex]3(-x)-9+x-3=26[/tex]

Subtract [tex]3[/tex] from [tex]-9[/tex]:

  • [tex]3-(-9)=-12[/tex]

         * [tex]3(-x)-12+x=26[/tex]

Add [tex]12[/tex] to both sides:

  • Since [tex]-12[/tex] is negative we do the opposite of what we see, so it cancels out.  
  • [tex]-12+12=[/tex] Cancels out
  • [tex]26+12=38[/tex]

         * [tex]3(-x)+x=38[/tex]

Multiply [tex]3[/tex] and [tex]-1[/tex]:

  • In this case we have [tex]2[/tex] x's, so we need to get rid of one. We do this by turning [tex](-x)[/tex] into [tex]-1[/tex].
  • Then we multiply them together: [tex]3[/tex] × [tex]-1=-3[/tex]

         * [tex]-3x+x=38[/tex]

Combine like terms:

  • [tex]-3x+x=-2x[/tex]

         * [tex]-2x=38[/tex]

Divide to get [tex]x[/tex] alone:

  • Divide by [tex]-2[/tex] on each side by rule of opposites: [tex]-2x[/tex] ÷ [tex]-2=x[/tex]
  • [tex]38[/tex] ÷ [tex]-2=-19[/tex]

        [tex]\boxed{x=-19}[/tex]

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