Question

Solve 3(2x-4)=6(x-2)

Answer 1

x can have any value, there are infinite solutions.

Explanation:

`3\left(2x-4\right)=6\left(x-2\right)`

Expand:

`3*2x-3* 4=6x-6* 2`

`6x-12=6x-12`

Add 12 to both sides:

`6x-12+12=6x-12+12`

`6x=6x`

Subtract 6x from both sides:

`6x-6x=6x-6x`

`0=0`

There are infinite solutions for x, as no matter what the value of x is, it will not affect the end result of
`0=0` which is true.

Answer 2

Using distributive properties :

3(2x-4) = 6(x-2)

6x-12 = 6x -12

Because they are equal x can be any real number:

(-infinity , infinity)