Question

2(× - 2)=4× - 6(× - 2)​

Answer 1

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: $\bold{2x-4=(4x+(-6x))+12}[/tex[tex]\bold{Combine\downarrow}$
• 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
• $\bold{\frac{4x}{4}=\frac{16}{4}}$
• $\boxed{\boxed{\bold{Answer:x=4}}}\checkmark$

Good luck on your assignment and enjoy your day

~$\frak{LoveYourselfFirst:)}$

Answer 2

[ 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

$\frac{4x}{4}$ = $\frac{16}{4}$

• Simplify

X = 4

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