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

Algebra is the branch of mathematics that deals with variables and expression. It finds its applications in various fields like engineering and science and is useful in finding the values of unknown quantities.

## Answer: The solution of the equation 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x is x = 3.

Let's understand the solution step by step.

**Explanation:**

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)

Cross multiplying the numerators and denominators of both the sides:

⇒ 7(2x + 4) = 10(x + 4)

⇒ 14x + 28 = 10x + 40

⇒ 4x = 12

⇒ x = 3