# How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12)

The question is based on solving the linear equations.

## Answer: There infinite number of solutions for the given linear equation 3(x + 10) + 6 = 3(x + 12).

Let us simplify the given linear equation and find the solution

**Explanation:**

3(x + 10) + 6 = 3(x + 12)

⇒ 3x + 30 + 6 = 3x + 36

⇒ 3x - 3x = 36 - 36

⇒ 0 = 0

⇒ There are infinite number of solutions for the given linear equation.