https://file.aiquickdraw.com/mathbot/file/1726692375454tkk9luf7.jpg

The equation from the image is:

\[
0.6x + 0.6 = 0.8x - 0.6
\]

Let’s solve this step by step:

### Step 1: Move the \(x\)-terms to one side of the equation
Subtract \(0.6x\) from both sides:

\[
0.6x + 0.6 - 0.6x = 0.8x - 0.6 - 0.6x
\]

Simplifying both sides:

\[
0.6 = 0.2x - 0.6
\]

### Step 2: Move the constant terms to one side
Add \(0.6\) to both sides:

\[
0.6 + 0.6 = 0.2x
\]

Simplifying:

\[
1.2 = 0.2x
\]

### Step 3: Solve for \(x\)
Divide both sides by \(0.2\):

\[
x = \frac{1.2}{0.2} = 6
\]

So, the solution is \(x = 6\).

Would you like more details or have any questions?

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Here are 5 related questions to expand on this:
1. How can I check if the solution \(x = 6\) is correct?
2. What happens if we encounter an equation with no solution?
3. How do you solve similar equations with fractions?
4. Can equations like this have more than one solution?
5. What is the process for solving equations with variables on both sides?

**Tip:** Always move terms with variables to one side and constants to the other when solving linear equations.

Solve the equation 0.6x + 0.6 = 0.8x - 0.6

Learn how to solve the linear equation 0.6x + 0.6 = 0.8x - 0.6 with a step-by-step solution. This problem covers key algebraic concepts, focusing on moving terms and solving for x. Suitable for students in Grades 7-9.

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