Question

(x-4)/5 - (x+1)/6 = 1/3

Answer 1

x = 39

Explanation:

The equation is,

→ (x - 4)/5 - (x + 1)/6 = 1/3

Now the value of x will be,

→ (x - 4)/5 - (x + 1)/6 = 1/3

→ 6(x - 4)/30 - 5(x + 1)/30 = 1/3

→ (6x - 24)/30 - (5x + 5)/30 = 1/3

→ (6x - 24 - 5x - 5)/30 = 1/3

→ x - 29 = (1/3) × 30

→ x - 29 = 30/3

→ x = 10 + 29

→ [ x = 39 ]

Hence, the value of x is 39.

Answer 2

• x = 39

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Given equation

• (x - 4)/5 - (x + 1)/6 = 1/3

Simplify by multiplying both sides by 30

• 30(x - 4)/5 - (x + 1)/6) = 30(1/3)
• 6(x - 4) - 5(x + 1) = 10
• 6x - 24 - 5x - 5 = 10
• x - 29 = 10
• x = 39