Verified Answer :

1. x=1 
5x=4+x
4x=4
x=1

2. x=3/4 or 0.75
2/3x=1/2
2x=1 1/2
x=3/4

3. x=1
3x-2x+4=15/3
x+4=15/3
x=1

4. x=5
4x+7=2x+17
2x+7=17
2x=10
x=5

5. x=20
.5x=10
x=20

1.  5(x) - [4 + x] = ? 
      4(x - 1)
       4 = ?
          x - 1 = ? 
           Now let's add ( + ) to your sides 
                       Answer: x = 1 

2.  \(\frac{2}{3} (x) - \frac{1}{2}\) = ? 
     \(\frac{1}{2}\)
     \(\frac{2}{3} (x) - \frac{1}{2}\) = ? 
     \(\frac{2}{3}\)
    L denominator = 3
    R denominator = 2
   Put them together it would be 6 
   \(\frac{4(x) - 3}{6 }\) = ? 
   4(x) - 3 = ? 
  Let's add 3 from your sides 
 Repeat the process but let's divide by 4 
  4(x) = 3 
 Answer   x = \(\frac{3}{4}\)

3. 3(x) - 2(x) + 4 - \(\frac{15}{3}\) = ? 
   \(\frac{5}{1}\)
   x + 4 - 5 = ? 
  x - 1  = 0
 Now, let add the number 1 from each sides 
  Answer: x = 1 

4.  4(x) + 7 - 2(x) +  17 = ? 
    2(x - 5)
    2 = ?
    x - 5 = 0
   Replace the subtraction symbol and make it a addition symbol ( but by 5)
  Answer: x = 5 

5.    .5(x) - 10 = ? 
       \(\frac{1}{2}\)
       \(\frac{1}{2} (x) - 10\) = ?
       \(\frac{10(2) }{2}\)
       \(\frac{x - 20}{2}\)
        x - 20 =  0 
Add the number 20 to each of your sides after replacing the subtraction symbol to a addition symbol 
    Answer: x = 20