https://file.aiquickdraw.com/mathbot/file/17259049880577tzn01x0.jpg

The equation in the image is:

\[
12x - 3 = 5
\]

Let's solve this step by step.

1. Start by adding \(3\) to both sides to isolate the term with \(x\):
\[
12x - 3 + 3 = 5 + 3
\]
\[
12x = 8
\]

2. Now, divide both sides by \(12\) to solve for \(x\):
\[
x = \frac{8}{12}
\]

3. Simplify the fraction:
\[
x = \frac{2}{3}
\]

So, the solution is:
\[
x = \frac{2}{3}
\]

Would you like more details on any part of the solution? 

Here are five related questions to further explore this concept:
1. How would you solve a similar equation if it involved division instead of multiplication?
2. Can you graph the equation \(12x - 3 = 5\) and interpret the solution graphically?
3. What happens to the equation if you change the constant on the right-hand side?
4. How does the process of solving an equation change if the coefficient of \(x\) is negative?
5. How can you check if the solution \(x = \frac{2}{3}\) is correct?

**Tip**: Always check your solution by substituting it back into the original equation to verify its accuracy.

Learn how to solve the linear equation 12x - 3 = 5 with a detailed step-by-step solution. This problem introduces fundamental algebraic techniques suitable for students in Grades 7-9.

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