d) 3x - 2 = 4x + 9
k) 5x - 3 + x = 2x + 9
d) 17x - 7x = x + 18
m) x + x - 4 = 17 - 2x + 1
n) x + 2x + 3 - 5x = 4x - 9
o) 5x + 6x - 16 = 3x + 2x - 4
p) 5x + 4 = 3x - 2x + 4

Q: d) 3x - 2 = 4x + 9 k) 5x - 3 + x = 2x + 9 d) 17x - 7x = x + 18 m) x + x - 4 = 17 - 2x + 1 n) x + 2x + 3 - 5x = 4x - 9 o) 5x + 6x - 16 = 3x + 2x - 4 p) 5x + 4 = 3x - 2x + 4

Sure, let's solve the equations one by one. **j) $3x - 2 = 4x + 9$** 1. Subtract $3x$ from both sides: $-2 = x + 9$ 2. Subtract 9 from both sides: $-11 = x$ **Answer: $x = -11$** --- **k) $5x - 3 + x = 2x + 9$** 1. Combine like terms on the left: $6x - 3 = 2x + 9$ 2. Subtract $2x$ from both sides: $4x - 3 = 9$ 3. Add 3 to both sides: $4x = 12$ 4. Divide by 4: $x = 3$ **Answer: $x = 3$** --- **l) $17x - 7x = x + 18$** 1. Simplify the left side: $10x = x + 18$ 2. Subtract $x$ from both sides: $9x = 18$ 3. Divide by 9: $x = 2$ **Answer: $x = 2$** --- **m) $x + x - 4 = 17 - 2x + 1$** 1. Combine like terms: $2x - 4 = 18 - 2x$ 2. Add $2x$ to both sides: $4x - 4 = 18$ 3. Add 4 to both sides: $4x = 22$ 4. Divide by 4: $x = \frac{22}{4} = \frac{11}{2}$ **Answer: $x = \frac{11}{2}$** --- **n) $x + 2x + 3 - 5x = 4x - 9$** 1. Combine like terms: $-2x + 3 = 4x - 9$ 2. Add $2x$ to both sides: $3 = 6x - 9$ 3. Add 9 to both sides: $12 = 6x$ 4. Divide by 6: $x = 2$ **Answer: $x = 2$** --- **o) $5x + 6x - 16 = 3x + 2x - 4$** 1. Combine like terms: $11x - 16 = 5x - 4$ 2. Subtract $5x$ from both sides: $6x - 16 = -4$ 3. Add 16 to both sides: $6x = 12$ 4. Divide by 6: $x = 2$ **Answer: $x = 2$** --- **p) $5x + 4 = 3x - 2x + 4$** 1. Simplify the right side: $5x + 4 = x + 4$ 2. Subtract $x$ from both sides: $4x + 4 = 4$ 3. Subtract 4 from both sides: $4x = 0$ 4. Divide by 4: $x = 0$ **Answer: $x = 0$**

Question

Accepted Answer

Sure, let's solve the equations one by one.

**j) $3x - 2 = 4x + 9$**

1. Subtract $3x$ from both sides: 
   $-2 = x + 9$

2. Subtract 9 from both sides:
   $-11 = x$

**Answer: $x = -11$**

---

**k) $5x - 3 + x = 2x + 9$**

1. Combine like terms on the left:
   $6x - 3 = 2x + 9$

2. Subtract $2x$ from both sides:
   $4x - 3 = 9$

3. Add 3 to both sides:
   $4x = 12$

4. Divide by 4:
   $x = 3$

**Answer: $x = 3$**

---

**l) $17x - 7x = x + 18$**

1. Simplify the left side:
   $10x = x + 18$

2. Subtract $x$ from both sides:
   $9x = 18$

3. Divide by 9:
   $x = 2$

**Answer: $x = 2$**

---

**m) $x + x - 4 = 17 - 2x + 1$**

1. Combine like terms:
   $2x - 4 = 18 - 2x$

2. Add $2x$ to both sides:
   $4x - 4 = 18$

3. Add 4 to both sides:
   $4x = 22$

4. Divide by 4:
   $x = \frac{22}{4} = \frac{11}{2}$

**Answer: $x = \frac{11}{2}$**

---

**n) $x + 2x + 3 - 5x = 4x - 9$**

1. Combine like terms:
   $-2x + 3 = 4x - 9$

2. Add $2x$ to both sides:
   $3 = 6x - 9$

3. Add 9 to both sides:
   $12 = 6x$

4. Divide by 6:
   $x = 2$

**Answer: $x = 2$**

---

**o) $5x + 6x - 16 = 3x + 2x - 4$**

1. Combine like terms:
   $11x - 16 = 5x - 4$

2. Subtract $5x$ from both sides:
   $6x - 16 = -4$

3. Add 16 to both sides:
   $6x = 12$

4. Divide by 6:
   $x = 2$

**Answer: $x = 2$**

---

**p) $5x + 4 = 3x - 2x + 4$**

1. Simplify the right side:
   $5x + 4 = x + 4$

2. Subtract $x$ from both sides:
   $4x + 4 = 4$

3. Subtract 4 from both sides:
   $4x = 0$

4. Divide by 4:
   $x = 0$

**Answer: $x = 0$**

d) 3x - 2 = 4x + 9 k) 5x - 3 + x = 2x + 9 d) 17x - 7x = x + ...

d) 3x - 2 = 4x + 9 k) 5x - 3 + x = 2x + 9 d) 17x - 7x = x + 18 m) x + x - 4 = 17 - 2x + 1 n) x + 2x + 3 - 5x = 4x - 9 o) 5x + 6x - 16 = 3x + 2x - 4 p) 5x + 4 = 3x - 2x + 4

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