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The value of x which satisfies the equation 10 (x + 6) + 8(x - 3) = 5(5x - 4) Also satisfies the equation

The value of x which satisfies the equation 10 (x + 6) + 8(x - 3) = 5(5x - 4) Also satisfies the equation Correct Answer 5(x - 5) = 2(x - 3) + 5

⇒ 10 (x + 6) + 8(x - 3) = 5(5x - 4)

⇒ 10x + 60 + 8x - 24 = 25x - 20

⇒ 25x - 18x = 36 + 20

⇒ 7x = 56

⇒ x = 56/7

⇒ x = 8

Taking option (1)

⇒ 3(3x - 5) = 2x + 1

⇒ 3 (3 × 8 - 5) = 2 × 8 + 1

⇒ 3 (24 - 5) = 16 + 1

⇒ 3 × 19 = 17

⇒ 57 ≠ 17

So, option (1) is false.

Taking option (2)

⇒ 2(x + 3) = 5(x - 5) + 4

⇒ 2 (8 + 3) = 5 (8 - 5) + 4

⇒ 2 × 11 = 5 × 3 + 4

⇒ 22 = 15 + 4

⇒ 22 ≠ 19

So, option (2) is also false.

Taking option (3)

⇒ 5(x - 5) = 2(x - 3) + 5

⇒ 5 (8 - 5) = 2 (8 - 3) + 5

⇒ 5 × 3 = 2 × 5 + 5

⇒ 15 = 10 + 5

⇒ 15 = 15 (satisfied)

So, option (3) satisfies the equation.

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