Question

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Answer 1

1. 3x - 5 = 0

➡ 3x = 5

➡ x = 5/3

2. 8x - 3 = 9 - 2x

➡ 8x + 2x = 9 + 3

➡ 10x = 12

➡ x = 12/10 (divide the fraction by 2)

➡ x = 6/5

3. 7 - 5x = 5 - 7x

➡ -5x + 7x = 5 - 7

➡ 2x = -3

➡ x = -3/2

4. 3 + 2x = 1 - x

➡ 2x + x = 1 - 3

➡ 3x = -2

➡ x = -2/3

5. 2(x - 2) + 3(4x - 1) = 0

➡ 2x - 4 + 12x - 3 = 0

➡ 14x - 7 = 0

➡ 14x = 7

➡ x = 7/14

➡ x = 1/2

6. 5(2x - 3) - 3(3x - 7) = 5

➡ 10x - 15 - 9x + 21 = 5

➡ x = 5 + 15 - 21

➡ x = 20 - 21

➡ x = -1

7. 2x - 1/3 = 1/5 - x

➡ 2x + x = 1/5 × 3/1

➡ 2x = 3/5

➡ x = 3/5 × 1/2

➡ x = 3/10

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

➡ 1/2x - 1/3x = 5 + 3

➡ 3/6x - 2/6x = 8

➡ 1/6x = 8

➡ x = 8 × 6

➡ x = 48

9. x/2 + x/4 = 1/8

➡ 2x/4 + x/4 = 1/8

➡ 3x/4 = 1/8

➡ 3x = 1/8 × 4

➡ 3x = 4/8 = 1/2

➡ x = 1/2 × 1/3

➡ x = 1/6

10. sorry the question isn't clear.

11. 13(y - 4) - 3(y - 9) - 5(y + 4) = 0

➡ 13y - 52 - 3y + 27 - 5y - 20 = 0

➡ 5y - 45 = 0

➡ 5y = 45

➡ y = 45/5

➡ y = 9

12. (2m + 5)/3 = 3m - 10

➡ 2m + 5 = 3(3m - 10)

➡ 2m + 5 = 9m - 30

➡ 2m - 9m = -30 - 5

➡ -7m = -35

➡ m = 35/7

➡ m = 5

13. 6(3x + 2) - 5(6x - 1) = 3(x - 8) - 5(7x - 6) + 9x

➡ 18x + 12 - 30x + 5 = 3x - 24 - 35x + 30 + 9x

➡ -12 + 12 = -23x + 6

➡ 0 = -23x + 6

➡ 23x = 6

➡ x = 6/23

14. t - (2t + 5) - 5(1 - 2t) = 2(3 + 4t) - 3(t - 4)

➡ t - 2t + 5 - 5 + 10t = 6 + 8t - 3t + 12

➡ 9t = 5t + 18

➡ 9t - 5t = 18

➡ 4t = 18

➡ t = 18/4

➡ t = 9/2

15. 2/3x = 3/8x + 7/12

➡ 2/3x - 3/8x = 7/12

➡ 16/24x - 9/24x = 7/12

➡ 7/24x = 7/12

➡ x = 7/12 × 24/7

➡ x = 2

16. (3x - 1)/5 - x/7 = 3

➡ 3x - 1 - x = 3 × 7 × 5

➡ 2x - 1 = 105

➡ 2x = 105 + 1

➡ x = 106/2

➡ x = 53

17. 2x - 3 = 3/10 (5x - 12)

➡ 2x - 3 = (15x - 36)/10

➡ 10(2x - 3) = 15x - 36

➡ 20x - 30 = 15x - 36

➡ 20x - 15x = -36 + 30

➡ 5x = -6

➡ x = -6/5

Answer 2

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