Verified Answer :

Mehek

Distribute on both sides

2x - 8 = 6x + 12

Move x to one side

-20 = 4x

Divide by 4

-5 = x

Answer:

x=-5

Step-by-step explanation:

\(2(x - 4) = 6(x + 2)\) (Expand)

\(2x-8=6x+12\)

\(2x-8+8=6x+12+8\) (Add 8 to both sides)

\(2x=6x+20\) (Simplify)

\(2x-6x=6x+20-6x\) (Subtract 6x from both sides)

\(-4x=20\)

\(\cfrac{-4x}{-4}=\cfrac{20}{-4}\) ( Divide)

\(x=-5\)