Solve for x : 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x

Solution:

Given equation: 3/3x + 1/(x + 4) = 10/7x.

⇒ 1/x + 1/(x + 4) = 10/7x.

Now, rearranging the equation, we get:

⇒ {(x + 4) + x} / x(x + 4) = 10/7x

⇒ 2x + 4 / x(x + 4) = 10/7x

⇒ 2x + 4 / x + 4 = 10/7 (Cancelling x on both sides as x cannot be 0.

If x = 0, then 10/7x and 1/x won't be defined)

Cross multiplying the numerators and denominators of both the sides:

⇒ 7(2x + 4) = 10(x + 4)

⇒ 14x + 28 = 10x + 40

⇒ 4x = 12

⇒ x = 3

Therefore, the solution of the given equation is x = 3.

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Solve for x : 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x

Summary:

The solution for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x is x = 3.