Solve the given linear equation.

*tx*3 = *t* + 6

The given linear equation is:

\[
tx \times 3 = t + 6
\]

### Step 1: Simplify the equation

\[
3tx = t + 6
\]

### Step 2: Solve for \(x\)

To isolate \(x\), divide both sides of the equation by \(3t\) (assuming \(t \neq 0\)):

\[
x = \frac{t + 6}{3t}
\]

Thus, the solution for \(x\) is:

\[
x = \frac{t + 6}{3t}
\]

Would you like further details on this solution or have any other questions?

Here are five related questions for further exploration:

1. What happens to the value of \(x\) if \(t = 0\)?
2. How would you solve if there were additional terms involving \(x\) on both sides of the equation?
3. Can you solve for \(t\) instead of \(x\)?
4. What if the equation were \(4tx = t + 6\)? How would the solution for \(x\) change?
5. How can this equation be represented graphically?

**Tip:** Always check for cases where the variable in the denominator (here \(t\)) could be zero to avoid undefined solutions.

Solve the given linear equation: tx * 3 = t + 6

Learn how to solve the linear equation tx * 3 = t + 6 with a detailed step-by-step solution. This problem covers key algebraic concepts, including isolating variables and simplifying expressions. Suitable for students in Grades 8-10.

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