# Solve for x: 2 over 5 plus 3x over 5 equals quantity x plus 5 over 10.

We will use the concept of linear equations and transpositions to solve for x.

## Answer: For the given equation, 2 over 5 plus 3x over 5 equals quantity x plus 5 over 10, the value of x = 1 / 5

Let us see how we will use the concept of linear equations and transpositions to solve for x.

**Explanation:**

We have been given the equation in word form that is 2 over 5 plus 3x over 5 equals quantity x plus 5 over 10.

Let us represent the same in terms of an equation and solve for x.

⇒ (2 / 5) + (3x / 5) = (x + 5) / 10

⇒ (2 + 3x) / 5 = (x + 5) / 10

⇒ 2 (2 + 3x) = (x + 5)

⇒ 4 + 6x = x + 5

⇒ 5x = 1