## RS Aggarwal Class 8 Math Eighth Chapter Linear Equations Exercise 8A Solution

## EXERCISE 8A

### Solve:

**(1) 8x + 3 = 27 + 2x**

⇒ 8x – 2x = 27 – 3

⇒ 6x = 24

⇒ x = 4

**(2) 5x + 7 = 2x – 8**

⇒ 5x – 2x = – 8 – 7

⇒ 3x = – 15

⇒ x = – 5

**(3) 2z – 1 = 14 – z**

⇒ 2z + z = 14 + 1

⇒ 3x = 15

⇒ z = 5

**(4) 9x + 5 = 4(x – 2) + 8**

⇒ 9x + 5 = 4x – 8 + 8

⇒ 9x – 4x = – 5

⇒ 5x = – 5

⇒ x = -1

⇒ 7y = 5y – 20

⇒ 7y – 5y = – 20

⇒ 2y = – 20

⇒ y = – 10

**(7) 15(y – 4) – 2(y – 9) + 5(y + 6) = 0**

⇒ 15y – 60 – 2y + 18 + 5y + 30 = 0

⇒ 18y – 60 + 48 = 0

⇒ 18y – 12 = 0

⇒ 18y = 12

**(8) 3(5x – 7) – 2(9x – 11) = 4(8x – 13) – 17**

⇒ 15x – 21 – 18x + 22 = 32x – 52 – 17

⇒ – 3x + 1 = 32x – 69

⇒ – 3x – 32x = – 69 – 1

⇒ – 35x = – 70

⇒ x = 2

⇒ t – 18 = 8 – 12t

⇒ t + 12t = 8 + 18

⇒ 13t = 26

⇒ t = 2

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