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

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