Rettigheten gjelder for alle.

Because -en is the definite singular ending for many masculine/common-gender nouns in Norwegian.

• en rettighet = a right
• rettigheten = the right

So instead of using a separate word like the, Norwegian often attaches the definiteness to the end of the noun.

The dictionary form is rettighet.

You will often see it like this:

• en rettighet = indefinite singular
• rettigheten = definite singular
• rettigheter = indefinite plural
• rettighetene = definite plural

So in this sentence, rettigheten is the right.

Gjelder is the present tense of å gjelde.

• å gjelde = to apply / to concern / to be valid
• gjelder = applies / concerns / is valid

In this sentence, it means something like applies.

Many Norwegian verbs form the present tense with -er, so:

• å gjelde → gjelder

Because Norwegian usually expresses the by adding an ending to the noun.

So English:

• the right

becomes Norwegian:

• rettigheten

This is one of the biggest structural differences from English.

With people or groups, Norwegian often uses gjelde for to mean apply to.

So:

• gjelder for alle = applies to everyone

The preposition for is part of the natural pattern here. English uses to, but Norwegian uses for.

That is very common: prepositions often do not match English directly.

Here, alle means everyone or all people.

It can be used:

• before a noun: alle barn = all children
• on its own: alle = everyone / all

In this sentence, it stands alone, so it means everyone.

This is the normal word order for a Norwegian main clause:

subject + verb + other information

So:

• Rettigheten = subject
• gjelder = verb
• for alle = prepositional phrase

This is the most basic sentence pattern in Norwegian.

Yes, that is grammatically possible, but it sounds more marked or literary.

Norwegian main clauses follow the V2 rule, which means the verb usually comes in the second position.

So if you move For alle to the front, the verb must still stay second:

• For alle gjelder rettigheten

That version puts more emphasis on for everyone.

The original sentence is the more neutral, straightforward version.

No. Å gjelde is used in several related ways.

It can mean:

• apply to
• concern
• be valid
• be about in some contexts

Examples:

• Dette gjelder meg. = This concerns me.
• Tilbudet gjelder til fredag. = The offer is valid until Friday.
• Regelen gjelder for alle. = The rule applies to everyone.

So in your sentence, it means applies to.

Not usually, if you specifically mean applies to everyone.

• gjelder for alle = applies to everyone
• er for alle = is for everyone

The second version can sound more like something is intended for everyone, rather than legally or formally applying to everyone.

So gjelder is the better verb here.

Because Norwegian has different forms for all depending on gender, number, and meaning.

Very roughly:

• all = singular common gender
• alt = singular neuter
• alle = plural or everyone

Examples:

• all tid = all the time
• alt er klart = everything is ready
• alle kommer = everyone is coming

In your sentence, the meaning is everyone, so alle is the correct form.

Yes. Depending on context, rettighet can be translated as:

• right
• entitlement
• sometimes privilege in looser contexts, though that is less exact

In legal, social, or political contexts, rettighet often means a right someone is entitled to have.

So learners should not expect a one-to-one match with a single English word in every context.

If you wanted the rights apply to everyone, you would say:

• Rettighetene gjelder for alle.

Notice:

• rettigheten = the right
• rettighetene = the rights

The verb stays gjelder, because Norwegian present tense verbs do not change for singular vs. plural subjects.

So:

• Rettigheten gjelder
• Rettighetene gjelder

The verb form is the same.