Question

How to solve absolute value equations 3x-2=8 and x+1=1

Answer 1

To solve absolute value equations, we can follow specific steps. However, it looks like both of your equations are linear equations rather than absolute value equations. In any case, here's how to solve both equations:

### 1. Solve the equation \(3x - 2 = 8\):

1. **Isolate the variable**:
\[
3x - 2 = 8
\]
Add 2 to both sides:
\[
3x = 10
\]

2. **Divide by the coefficient of \(x\)**:
\[
x = \frac{10}{3}
\]

### 2. Solve the equation \(x + 1 = 1\):

1. **Isolate the variable**:
\[
x + 1 = 1
\]
Subtract 1 from both sides:
\[
x = 0
\]

### Summary of solutions:
- For \(3x - 2 = 8\), the solution is \(x = \frac{10}{3}\).
- For \(x + 1 = 1\), the solution is \(x = 0\).

If you would like to see how to solve an actual absolute value equation, please provide an example, and I can help with that as well!