Let's solve both equations from the image step-by-step.

Part (a):

$\frac{3x + 4}{2} = 9.5$

Step 1: Multiply both sides by 2 to eliminate the denominator. $3x + 4 = 9.5 \times 2$ $3x + 4 = 19$

Step 2: Subtract 4 from both sides. $3x = 19 - 4$ $3x = 15$

Step 3: Divide by 3 to solve for $x$. $x = \frac{15}{3}$ $x = 5$

Part (b):

$\frac{7 + 2x}{3} = 5$

Step 1: Multiply both sides by 3 to eliminate the denominator. $7 + 2x = 5 \times 3$ $7 + 2x = 15$

Step 2: Subtract 7 from both sides. $2x = 15 - 7$ $2x = 8$

Step 3: Divide by 2 to solve for $x$. $x = \frac{8}{2}$ $x = 4$

Final Answers:

• For (a), $x = 5$.
• For (b), $x = 4$.

Would you like more details or have any further questions?

Here are 5 related questions for further practice:

1. Solve $\frac{5x + 7}{3} = 8$.
2. Solve $\frac{4x - 3}{5} = 6$.
3. Solve $2x + 5 = 15$.
4. Solve $\frac{x}{4} + 3 = 7$.
5. Solve $7 - 2x = 9$.

Tip: Always start by eliminating fractions in an equation by multiplying both sides by the denominator!