Solve the following equations:

(a) 2(x + 4) = 12 (b) 3(n – 5) = 21

(c) 3(n – 5) = -21 (d) -4(2 + x) = 8

(e) 4(2 – x) = 8

The parts of the given questions are solved below:

(a) Here,

We have to solve the given equation for x.

Therefore,

We have,

2(x + 4) = 12

Dividing both sides by 2 we get,

(x + 4) =

(x + 4) = 6

x = 6 – 4

x = 2

(b) Here,

We have to solve the given equation for n.

Therefore,

We have,

3(n – 5) = 21

Dividing both sides by 3, we get:

(n – 5) =

(n – 5) = 7

n = 7 + 5

n = 12

(c) Here,

We have to solve the given equation for n.

Therefore,

We have,

3(n - 5) = -21

Dividing both sides by 3 we get,

(n - 5) =

(n – 5) = -7

n = -7 + 5

n = -2

(d) Here,

We have to solve the given equation for x.

Therefore,

We have,

-4(2 + x) = 8

Dividing both sides by -4 we get,

(2 + x) =

(2 + x) = -2

x = -2 – 2

x = -4

(e) Here,

We have to solve the given equation for x.

Therefore,

We have,

4(2 - x) = 8

Dividing both sides by 4 we get,

(2 - x) =

(2 - x) = 2

-x = 2 – 2

-x = 0

x = 0