# How Many Solutions Exist for the Given Equation? 3(X + 10) + 6 = 3(X + 12)

## Question: 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 is no solution 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 + 12

⇒ 3x - 3x = 12 - 36

⇒ 0 = -24 which is absurd mathematically

### Thus, there is no solution for the given linear equation 3(x + 10) + 6 = 3(x + 12)

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