1/2x + 1/6x + 1/12x +1/20x + 1/30 + 1/42x = -6

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вопрос

First, we need to find a common denominator for all the fractions. The least common denominator for 2, 6, 12, 20, 30, and 42 is 420.

Rewriting the equation with a common denominator of 420:

(210/420)x + (70/420)x + (35/420)x + (21/420)x + (14/420)x + (10/420)x = -6

Combine like terms:

(350/420)x = -6

Simplify by dividing both sides by 70:

(5/6)x = -6

Multiply both sides by 6:

5x = -36

Divide by 5:

x = -36/5

Therefore, x = -7.2