Question

solving step for
-9 + 6x = -3(3 - 2x)

Answer 1

To solve the equation \(-9 + 6x = -3(3 - 2x)\), follow these steps:

1. **Distribute the -3 on the right side:**

\[
-9 + 6x = -3 \cdot 3 + (-3) \cdot (-2x)
\]
\[
-9 + 6x = -9 + 6x
\]

2. **Now, we see that both sides of the equation are equal:**

\[
-9 + 6x = -9 + 6x
\]

3. **This means that the equation holds true for any value of \(x\) because both sides simplify to the same expression. Therefore, the solution is:**

\[
\text{All real numbers (or, } x \in \mathbb{R}\text{)}
\]

This implies that there are infinitely many solutions for this equation.