To solve the equation \( 3 = \frac{1}{3}(10x - 12) \), follow these steps:

1. **Eliminate the fraction**: Multiply both sides of the equation by 3 to get rid of the fraction.

   \[
   3 \times 3 = 3 \times \frac{1}{3}(10x - 12)
   \]

   This simplifies to:

   \[
   9 = 10x - 12
   \]

2. **Isolate the \( x \) term**: Add 12 to both sides of the equation to move the constant term to the left side.

   \[
   9 + 12 = 10x
   \]

   Simplifying this, we get:

   \[
   21 = 10x
   \]

3. **Solve for \( x \)**: Divide both sides by 10 to isolate \( x \).

   \[
   x = \frac{21}{10}
   \]

   Simplifying further, we get:

   \[
   x = 2.1
   \]

Therefore, the solution to the equation is \( x = 2.1 \).

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

Here are some related questions:

1. How would you solve the equation if it had a different constant on the left side?
2. What if the coefficient of \( x \) was different in the equation?
3. How do you solve similar equations with more complex fractions?
4. How would you graph the equation and the solution?
5. What are the implications of different signs in front of the numbers?

**Tip:** Always clear fractions early in solving equations to simplify the problem and avoid potential mistakes.

Learn how to solve the equation 3 = (1/3)(10x - 12) step-by-step with a detailed solution. This problem involves basic algebraic concepts, including equations and fractions. Suitable for students in Grades 7-9.

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