https://file.aiquickdraw.com/mathbot/file/1726801863223gkrd0hmf.pdf

The PDF you've uploaded contains a series of algebraic equations to be solved. I'll solve each one below:

1. **Equation**: \( 11x + 18 = 172 \)
   - Subtract 18 from both sides: \( 11x = 172 - 18 \)
   - \( 11x = 154 \)
   - Divide by 11: \( x = \frac{154}{11} = 14 \)

2. **Equation**: \( -9x + 20 = -25 \)
   - Subtract 20 from both sides: \( -9x = -25 - 20 \)
   - \( -9x = -45 \)
   - Divide by -9: \( x = \frac{-45}{-9} = 5 \)

3. **Equation**: \( 6x - 15 = -153 \)
   - Add 15 to both sides: \( 6x = -153 + 15 \)
   - \( 6x = -138 \)
   - Divide by 6: \( x = \frac{-138}{6} = -23 \)

4. **Equation**: \( 16 = -8x + 4 \)
   - Subtract 4 from both sides: \( 16 - 4 = -8x \)
   - \( 12 = -8x \)
   - Divide by -8: \( x = \frac{12}{-8} = -\frac{3}{2} = -1.5 \)

5. **Equation**: \( -3x - 19 = -24 \)
   - Add 19 to both sides: \( -3x = -24 + 19 \)
   - \( -3x = -5 \)
   - Divide by -3: \( x = \frac{-5}{-3} = \frac{5}{3} \)

Would you like me to continue solving the remaining equations or provide more details on these solutions?

Here are 5 related questions that expand on this topic:
1. How do you solve equations involving fractions and decimals?
2. Can you explain the method of solving multi-step equations with variables on both sides?
3. What happens when an equation has no solution or infinitely many solutions?
4. How do you solve systems of equations with substitution or elimination methods?
5. How can you check if your solution to an equation is correct?

**Tip**: When solving equations, always perform the same operation on both sides to maintain the equation's balance!

Learn how to solve two-step linear equations such as 11x + 18 = 172 and more with a detailed solution process. This page covers essential algebraic techniques like isolating variables and solving multi-step equations, ideal for Grades 6-8.

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