Jeg kan godt lide begge dele.

Because kan godt lide is an idiomatic Danish way to say like.

The sentence breaks down like this:

• Jeg = I
• kan = can
• godt = well / quite / really
• lide = like

But you should not translate it word-for-word. In modern Danish, at kunne lide means to like, and in everyday affirmative speech, kan godt lide is extremely common.

So even though it looks odd from an English perspective, you should learn kan lide / kan godt lide as a set expression.

In this sentence, godt does not mean well in the usual English sense. It helps make the phrase sound natural and idiomatic.

• Jeg kan lide begge dele = grammatical, understandable
• Jeg kan godt lide begge dele = more natural in many everyday situations

So godt often adds a mild, natural emphasis, something like:

• I do like both
• I quite like both
• I like both

But the exact effect depends on context, and in many cases it is simply part of the normal expression.

A useful thing to remember:

• In affirmative sentences, godt is very common.
• In negative sentences, you normally say Jeg kan ikke lide ..., not Jeg kan ikke godt lide ...

Begge dele means both things / both options / both of them, especially when the things are not named directly.

Examples:

• Jeg kan godt lide begge dele. = I like both.
• Vil du have te eller kaffe? – Begge dele. = Tea or coffee? – Both.

If you name the noun, you usually just use begge + noun:

• Jeg kan godt lide begge bøger. = I like both books.
• Begge børn kom til tiden. = Both children arrived on time.

So:

• begge dele = both things / both options
• begge + noun = both + a specific noun

Dele is the plural of del, which means part.

In the fixed expression begge dele, it means something like:

• both parts
• both things
• both options

Even though del literally means part, the full phrase begge dele is often best understood as both things or both of them.

It is a very common expression in Danish.

The basic order is:

subject + finite verb + adverb + main verb + object

So here:

• Jeg = subject
• kan = finite verb
• godt = adverb
• lide = main verb
• begge dele = object

That gives:

Jeg | kan | godt | lide | begge dele

This is a very common Danish pattern.

If you turn it into a yes/no question, the finite verb comes first:

• Kan du godt lide begge dele? = Do you like both?

That verb-second pattern is an important feature of Danish word order.

Yes, but it means something stronger.

• Jeg kan godt lide begge dele = I like both
• Jeg elsker begge dele = I love both

So elsker is more intense and emotional.

If you just want to express ordinary liking, kan godt lide is usually the safest choice.

No, but it is one of the most common and useful ways.

Another possibility is synes om:

• Jeg synes om begge dele.

This can also mean I like both, but kan lide is often more common in everyday Danish, especially for general likes and dislikes.

As a learner, kan godt lide is an excellent phrase to learn early because native speakers use it a lot.

You would usually say:

Jeg kunne godt lide begge dele. = I liked both.

Here:

• kan becomes kunne
• the rest stays the same

So:

• Jeg kan godt lide begge dele. = I like both.
• Jeg kunne godt lide begge dele. = I liked both.

The normal negative version is:

Jeg kan ikke lide begge dele.

That means I do not like both. Depending on context, it may mean that you do not like the two things equally, or that it is not true that you like both.

If you want to say I like neither, Danish often uses a clearer expression, such as:

• Jeg kan ikke lide nogen af delene. = I like neither of the two things.
• Jeg kan ikke lide nogen af dem. = I like neither of them.

So be careful: not both and neither are not always exactly the same idea.

Yes. Begge is used for exactly two.

Examples:

• begge børn = both children
• begge dele = both things

If you are talking about more than two, you would normally use alle:

• alle tre bøger = all three books

So in Jeg kan godt lide begge dele, the speaker is choosing between or referring to exactly two things.

Yes, in some contexts.

• Jeg kan godt lide begge dele is especially natural for two things / two options
• Jeg kan godt lide dem begge means I like both of them

The difference is mostly about what you are referring to:

• begge dele = both things/options
• dem begge = both of them

For example, if two dishes, two ideas, or two choices were just mentioned, begge dele is often very natural. If you are talking about two specific previously mentioned items, dem begge can also work well.