Solve the equation. (Enter your answers as a comma-separated list.)
18 − |15x + 15| = 18

To solve the equation:

\[
18 - |15x + 15| = 18
\]

1. **Isolate the absolute value**:

Subtract 18 from both sides of the equation:

\[
- |15x + 15| = 0
\]

Multiply through by -1 to eliminate the negative sign:

\[
|15x + 15| = 0
\]

2. **Solve the absolute value equation**:

For the absolute value of an expression to equal zero, the expression inside must be zero. Thus:

\[
15x + 15 = 0
\]

3. **Solve for \( x \)**:

Subtract 15 from both sides:

\[
15x = -15
\]

Now, divide by 15:

\[
x = -1
\]

The solution is:

\[
x = -1
\]

Let me know if you'd like more details or have any other questions!

Here are some related problems:
1. Solve \( |2x + 3| = 5 \).
2. Solve \( |4x - 7| = 2x \).
3. Solve \( 10 - |x + 5| = 5 \).
4. Solve \( |x - 6| + 2 = 0 \).
5. Solve \( 12 - 2|x + 1| = 0 \).

**Tip:** When solving absolute value equations, remember that the expression inside the absolute value must satisfy two cases: one where it's positive and one where it's negative!

Solve the equation. (Enter your answers as a comma-separated list.) 18 − |15x + 15| = 18

This page provides a step-by-step solution to the absolute value equation 18 − |15x + 15| = 18. Learn key concepts in algebra, such as isolating the absolute value and solving linear equations. Ideal for students in Grades 8-10.

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