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Find the value of x: (x/2)[4 + (3/2)] = (3x/2) + (8/2)
1. 11/2
2. 16/5
3. 19/3
4. 17/7

1 Answer

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Correct Answer - Option 2 : 16/5

Given

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

Calculation 

4x/2 + 3x/4 = (3x/2) + (8/2)

⇒ (8x + 3x)/4 = 3x/2 + 8/2

 ⇒11x/4 = 3x/2 + 8/2

⇒ (11x/4) - (3x/2) = 8/2

⇒ (11x - 6x)/4 = 4

⇒ 11x - 6x = 16

⇒ 5x = 16

⇒ x = 16/5

∴ Value of x is 16/5

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