To solve the equation \(0.3 \times (9 - 6x) = 5 - 2x\), follow these steps:

1. Distribute \(0.3\) on the left-hand side:

\[
0.3 \times 9 - 0.3 \times 6x = 5 - 2x
\]

This simplifies to:

\[
2.7 - 1.8x = 5 - 2x
\]

2. Move all terms involving \(x\) to one side and constants to the other side. First, add \(2x\) to both sides:

\[
2.7 - 1.8x + 2x = 5
\]

This simplifies to:

\[
2.7 + 0.2x = 5
\]

3. Subtract \(2.7\) from both sides to isolate the term with \(x\):

\[
0.2x = 5 - 2.7
\]

This simplifies to:

\[
0.2x = 2.3
\]

4. Divide both sides by \(0.2\) to solve for \(x\):

\[
x = \frac{2.3}{0.2}
\]

This simplifies to:

\[
x = 11.5
\]

Thus, the value of \(x\) is \(11.5\).

Would you like more details or have any questions about this solution?

Here are some related questions for further practice:

1. If \(0.5 \times (8 - 4x) = 6 - 3x\), what is the value of \(x\)?
2. Solve for \(x\): \(0.2 \times (10 - 5x) = 4 - x\).
3. If \(0.4 \times (7 - 2x) = 3 - x\), find \(x\).
4. Solve the equation: \(0.6 \times (5 - x) = 2 - 0.5x\).
5. What is \(x\) if \(0.3 \times (6 - 3x) = 4 - 2x\)?
6. If \(0.1 \times (12 - 8x) = 3 - 4x\), what is \(x\)?
7. Solve for \(x\): \(0.7 \times (11 - 7x) = 8 - 6x\).
8. If \(0.25 \times (20 - 5x) = 5 - x\), find \(x\).

**Tip:** Always combine like terms and simplify the equation step by step to avoid mistakes and ensure accuracy.

Learn how to solve the equation 0.3 × (9 - 6x) = 5 - 2x with a detailed step-by-step solution. This problem involves algebraic equations and requires understanding of the distributive property and equation solving techniques. Suitable for students in Grades 7-9.

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