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