Question

2(× - 2)=4× - 6(× - 2)​

Answer 1

[ Answer ]

`\boxed{\bold{X \ = \ 4}}`

[ Explanation ]

• Solve:
  `\bold{2(x - 2) = 4x - 6(x - 2)}`

----------------------------------

• [Expand]
  `\bold{-6(x - 2): -6x + 12}`

2x - 4 = 4x - 6x + 12

• [Add Similar Elements]
  `\bold{4x \ - \ 6x \ = \ -2x}`

2x - 4 = -2x + 12

• [Expand]
  `\bold{2(x \ - \ 2): \ 2x \ - \ 4}`

2x - 4 = -2x + 12

• Add 4 To Both Sides

2x - 4 + 4 = -2x + 12 + 4

• Simplify

2x = -2x + 16

• Add 2x To Both Sides

2x + 2x = -2x + 16 + 2x

• Simplify

4x = 16

• Divide Both Sides By 4

`(4x)/(4)` =
`(16)/(4)`

• Simplify

X = 4

`\boxed{\boxed{\bold{[] \ Eclipsed \ []}}}`

Answer 2

Hey there!

Assuming you meant: "
`\bold{2(x-2=4x-6(x-2)}`"

If so follow these steps

• 
  `\bold{Distribute\downarrow}`
• 
  `\bold{2(x)+2(-2)=4(x)+(-6)x+(-6))(-2)}`
• 
  `\bold{2(x)=2x}`
• 
  `\bold{2(-2)=-4}`
• 
  `\bold{4x=4x}`
• 
  `\bold{-6(x)=-6x}`
• 
  `\bold{(-6)(-2)=12}`
• We get:
  `\bold{2x-4=(4x+(-6x))+12}[/tex</strong></li><li><strong>[tex]\bold{Combine\downarrow}`
• All the x-values are one and the regular numbers are one
• We get:
  `\bold{2x-4=-2x+12}`
• 
  `\bold{Add}` by
  `\bold{2x}` on your sides
• 
  `\bold{2x-4+2x=-2x+12+4}`
• We now get:
  `\bold{4x-4=12}`
• 
  `\bold{Add}` by
  `\bold{4}` on each of your sides
• 
  `\bold{4x-4+4=12+4}`
• We get:
  `\bold{4x=16}`
• 
  `\bold{Divide}` by
  `\bold{4}` on each of your sides
• 
  `\bold{(4x)/(4)=(16)/(4)}`
• 
  `\boxed{\boxed{\bold{Answer:x=4}}}\checkmark`

Good luck on your assignment and enjoy your day

~
`\frak{LoveYourselfFirst:)}`