Question

Solve for x in the equation below.

2x−7x−9=4x+18

Answer 1

`\huge \boxed{\mathbb{QUESTION} \downarrow}`

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

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`\sf \: 2x-7x-9 = 4x+18`

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

`\sf \: -5x-9=4x+18`

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

`\sf \: -9x-9=18`

Add 9 to both sides.

`\sf \: -9x=18+9`

Add 18 and 9 to get 27.

`\sf \: -9x=27`

Divide both sides by -9.

`\sf \: x=(27)/(-9) \\`

Divide 27 by -9 to get -3.

`\boxed{ \boxed{\bf \: x = - 3}}`

Answer 2

x = -3

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

`(-9x)/(-9) = (27)/(-9)`

x = -3