Question

Hi, I've recently started doing proofs in math, and I've gotten through most of it, but I am still absolutely clueless when it comes to these questions; could someone please help and explain to me how this works??
Question 1: What is the reason for #4?

Given: 4x + 1 = 6x - 2, Prove: x = 3/2

(1) 4x + 1 = 6x - 2

(2) 4x + 3 = 6x

(3) 3 = 2x

(4) 3/2 = x ?

(5) x = 3/2

Question 2:

What is the reason for #3?

Given: 3x - 4 = 2(x + 8), Prove: x = 20

(1) 3x - 4 = 2(x + 8)

(2) 3x - 4 = 2x + 16

(3) 3x = 2x + 20 ?

(4) x = 20

PLEASE HELP I AM DESPERATE TO UNDERSTAND!!

Answer 1

4x + 1 = 6x - 2, Prove: x = 3/2  
-4x     =-4x
1         =2x-2
-1       =-1
0       =2x-3
0       =2x+(-3)
2/3=2/3 

3x - 4 = 2(x + 8), Prove: x = 20 
3x- 4  =2x+16
+4      =+4
3x      =2x+20
-2x     =-2x
1x       =20