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