\( \begin{array}{c}\text { Solve the following two-step } \\ \text { equations. Show work! } \\ 1.2 x+5=13 \\ 2.3 x-4=11 \quad 11.4 x-6=18 \\ \text { 3. } 4 x+7=23 \\ 4.5 x-3=17 \\ 5.3 x+2=11 \\ \text { 6. } 7 x-9=20 \\ 7 \cdot \frac{1}{2} x+6=10 \\ 8.2 x-5=13\end{array} \) 9. \( 0.5 x+4=9 \) 10. \( 3 x+1=10 \)

To solve these two-step equations, let's break each down step by step! 1. For \( 1.2x + 5 = 13 \): - First, subtract 5 from both sides: \( 1.2x = 8 \). - Then, divide both sides by 1.2: \( x = \frac{8}{1.2} = \frac{80}{12} \approx 6.67 \). 2. For \( 3x - 4 = 11 \): - Add 4 to both sides: \( 3x = 15 \). - Divide by 3: \( x = 5 \). 3. For \( 4x + 7 = 23 \): - Subtract 7: \( 4x = 16 \). - Divide by 4: \( x = 4 \). 4. For \( 5x - 3 = 17 \): - Add 3: \( 5x = 20 \). - Divide by 5: \( x = 4 \). 5. For \( 3x + 2 = 11 \): - Subtract 2: \( 3x = 9 \). - Divide by 3: \( x = 3 \). 6. For \( 7x - 9 = 20 \): - Add 9: \( 7x = 29 \). - Divide by 7: \( x \approx 4.14 \). 7. For \( \cdot \frac{1}{2} x + 6 = 10 \): - Subtract 6: \( \frac{1}{2} x = 4 \). - Multiply by 2: \( x = 8 \). 8. For \( 2x - 5 = 13 \): - Add 5: \( 2x = 18 \). - Divide by 2: \( x = 9 \). 9. For \( 0.5x + 4 = 9 \): - Subtract 4: \( 0.5x = 5 \). - Multiply by 2: \( x = 10 \). 10. For \( 3x + 1 = 10 \): - Subtract 1: \( 3x = 9 \). - Divide by 3: \( x = 3 \). Hope this helps you tackle those equations confidently! When you're solving equations like these, it can be super handy to double-check each step! Look out for common mistakes like forgetting to apply the same operation to both sides or mixing up addition and subtraction operations. A neat trick is to keep the equations balanced—like a scale! This will help ensure you land on the correct answer without any hiccups.