# Solve the following equation: x/3 + 1 = 7/15

**Solution:**

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. The two sides of an equation is always balanced.

We perform mathematical operations on the simple equation given so that the balance is not disturbed.

We know that while transposing any term from LHS to RHS or RHS to LHS, the sign of the term gets changed.

- + changes to -
- - changes to +
- × changes to ÷
- ÷ changes to ×

x/3 + 1 = 7/15

Transposing 1 to RHS, we get

x/3 = 7/15 - 1

⇒ x/3 = (7 - 15)/15 = -8/15

Now multiplying both sides by 3, we get

x = (-8/15) × 3 = -8/5

Therefore, x = -8/5

**ā Check: **NCERT Solutions Class 8 Maths Chapter 2

**Video Solution:**

## Solve the following equation: x/3 + 1 = 7/15

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.1 Question 12

Summary:

The solution to the given equation x/3 + 1 = 7/15 is x = -8/5

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