Respuesta :

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • Solve for x in the equation ⇨ 2x−7x−9=4x+18

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: 2x-7x-9 = 4x+18[/tex]

Combine 2x and -7x to get -5x.

[tex] \sf \: -5x-9=4x+18 [/tex]

Combine -5x and -4x to get -9x.

[tex] \sf \: -9x-9=18 [/tex]

Add 9 to both sides.

[tex] \sf \: -9x=18+9 [/tex]

Add 18 and 9 to get 27.

[tex] \sf \: -9x=27 [/tex]

Divide both sides by -9.

[tex] \sf \: x=\frac{27}{-9} \\ [/tex]

Divide 27 by -9 to get -3.

[tex] \boxed{ \boxed{\bf \: x = - 3}}[/tex]

Answer:

x = -3

Step-by-step explanation:

Combine like terms to isolate x:

2x - 7x - 9 = 4x + 18

2x - 7x - 9 - 4x = - 4x + 18

- 9x - 9 = 18

- 9x - 9 + 9 = 18 + 9

-9x = 27

[tex]\frac{-9x}{-9} = \frac{27}{-9}[/tex]

x = -3