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Woah! This might take a long time but let us answer this by simplifying it first using the combination of terms. We should use the PMDAS and the left-to-right method if it is already pure Subtraction and Addition or pure Multiplication and Division.

Okay, number 1:

1.) 3x + 4 - 8 / 2 x 5 - 3 + 1 = 3

3x + 4 - [(8/2) x 5] - 3 + 1 = 3

3x + 4 - [ (4) x 5 ] - 3 + 1 = 3

3x + 4 - 20 - 3 + 1 = 3

3x -16 - 3 + 1 = 3

3x - 19 + 1 = 3

3x -18 = 3

3x = 3 + 18

3x = 21

x = 7

Check:

3x + 4 - [ (8/2) x 5 ] - 3 + 1 = 3

3(7) + 4 - [(8/2) x 5] - 3 + 1 = 3

21 + 4 - [ 4 x 5 ] - 3 + 1 = 3

21 + 4 - 20 - 3 + 1 = 3

25 - 20 -3 + 1 = 3

5 - 3 + 1 = 3

2 + 1 = 3

3 = 3, CORRECT!!!

Number 2.

2.) 2x + 6 - 12 x 3 / 2 + 3x - 20 + 5 = 6

2x + 6 - [(12 x 3) / 2] + 3x - 20 + 5 = 6

2x + 6 - [ 36 / 2 ] + 3x - 20 + 5 = 6

2x + 6 - 18 + 3x - 20 + 5 = 6

2x - 12 + 3x - 20 + 5 = 6

5x - 12 - 20 + 5 = 6

5x - 32 + 5 = 6

5x - 27 = 6

5x = 6 + 27

5x = 33

x = 33/ 5

Check:

2x + 6 - [(12 x 3) / 2] + 3x - 20 + 5 = 6

2x + 6 - [ 36 / 2 ] + 3x - 20 + 5 = 6

2x + 6 - 18 + 3x - 20 + 5 = 6

2(33/5) + 6 - 18 + 3(33/5) - 20 + 5 = 6

66 / 5 - 12 + 99/5 - 20 + 5 = 6

165 / 5 - 32 + 5 = 6

165 / 5 - 27 = 6

165 / 5 = 6 + 27

165 / 5 = 33

33 = 33, CORRECT!!!

So the answers are:

1.) 7

2.) 33/5

(Note: You can be sure that these are correct if my answers are not wrong. Please correct me if I have a mistake, :) : ) :) )

Okay, number 1:

1.) 3x + 4 - 8 / 2 x 5 - 3 + 1 = 3

3x + 4 - [(8/2) x 5] - 3 + 1 = 3

3x + 4 - [ (4) x 5 ] - 3 + 1 = 3

3x + 4 - 20 - 3 + 1 = 3

3x -16 - 3 + 1 = 3

3x - 19 + 1 = 3

3x -18 = 3

3x = 3 + 18

3x = 21

x = 7

Check:

3x + 4 - [ (8/2) x 5 ] - 3 + 1 = 3

3(7) + 4 - [(8/2) x 5] - 3 + 1 = 3

21 + 4 - [ 4 x 5 ] - 3 + 1 = 3

21 + 4 - 20 - 3 + 1 = 3

25 - 20 -3 + 1 = 3

5 - 3 + 1 = 3

2 + 1 = 3

3 = 3, CORRECT!!!

Number 2.

2.) 2x + 6 - 12 x 3 / 2 + 3x - 20 + 5 = 6

2x + 6 - [(12 x 3) / 2] + 3x - 20 + 5 = 6

2x + 6 - [ 36 / 2 ] + 3x - 20 + 5 = 6

2x + 6 - 18 + 3x - 20 + 5 = 6

2x - 12 + 3x - 20 + 5 = 6

5x - 12 - 20 + 5 = 6

5x - 32 + 5 = 6

5x - 27 = 6

5x = 6 + 27

5x = 33

x = 33/ 5

Check:

2x + 6 - [(12 x 3) / 2] + 3x - 20 + 5 = 6

2x + 6 - [ 36 / 2 ] + 3x - 20 + 5 = 6

2x + 6 - 18 + 3x - 20 + 5 = 6

2(33/5) + 6 - 18 + 3(33/5) - 20 + 5 = 6

66 / 5 - 12 + 99/5 - 20 + 5 = 6

165 / 5 - 32 + 5 = 6

165 / 5 - 27 = 6

165 / 5 = 6 + 27

165 / 5 = 33

33 = 33, CORRECT!!!

So the answers are:

1.) 7

2.) 33/5

(Note: You can be sure that these are correct if my answers are not wrong. Please correct me if I have a mistake, :) : ) :) )