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Amphitrite1040

Hey there!

Assuming you meant: "[tex]\bold{2(x-2=4x-6(x-2)}[/tex]"

If so follow these steps

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

Good luck on your assignment and enjoy your day

~[tex]\frak{LoveYourselfFirst:)}[/tex]

[ Answer ]

[tex]\boxed{\bold{X \ = \ 4}}[/tex]

[ Explanation ]

  • Solve: [tex]\bold{2(x - 2) = 4x - 6(x - 2)}[/tex]

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

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

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

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

2x - 4 = -2x + 12

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

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

[tex]\frac{4x}{4}[/tex] = [tex]\frac{16}{4}[/tex]

  • Simplify

X = 4

[tex]\boxed{\boxed{\bold{[] \ Eclipsed \ []}}}[/tex]

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