Question

⑱ $\frac{x}{5}=1$ ⑲ $\frac{x}{3}+3=9$
⑳ $\frac{x}{3}+2=7$ ㉑ $\frac{x}{4}+2=6$
㉒ $\frac{x}{2}+1=6$ ㉓ $\frac{x}{4}-2=8$
㉔ $4(x-1)=8$ ㉕ $8(x-3)=24$
㉖ $3(x+2)=15$ ㉗ $6(x+3)=42$
㉘ $4(x+3)=24$ ㉙ $7(x+6)=49$

Explanation:

(1) $\frac{x}{5}=1$

Step1: Isolate $x$ via multiplication

Multiply both sides by 5:
$x = 1 \times 5$

Step2: Calculate final value

$x = 5$

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(2) $\frac{x}{2}+3=9$

Step1: Subtract 3 from both sides

$\frac{x}{2}=9-3$
$\frac{x}{2}=6$

Step2: Isolate $x$ via multiplication

Multiply both sides by 2:
$x=6\times2$
$x=12$

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(3) $\frac{x}{3}+2=7$

Step1: Subtract 2 from both sides

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

Step2: Isolate $x$ via multiplication

Multiply both sides by 3:
$x=5\times3$
$x=15$

---

(4) $\frac{x}{4}+2=6$

Step1: Subtract 2 from both sides

$\frac{x}{4}=6-2$
$\frac{x}{4}=4$

Step2: Isolate $x$ via multiplication

Multiply both sides by 4:
$x=4\times4$
$x=16$

---

(5) $\frac{x}{2}+1=6$

Step1: Subtract 1 from both sides

$\frac{x}{2}=6-1$
$\frac{x}{2}=5$

Step2: Isolate $x$ via multiplication

Multiply both sides by 2:
$x=5\times2$
$x=10$

---

(6) $\frac{x}{4}-2=8$

Step1: Add 2 to both sides

$\frac{x}{4}=8+2$
$\frac{x}{4}=10$

Step2: Isolate $x$ via multiplication

Multiply both sides by 4:
$x=10\times4$
$x=40$

---

(7) $4(x-1)=8$

Step1: Divide both sides by 4

$x-1=\frac{8}{4}$
$x-1=2$

Step2: Isolate $x$ via addition

Add 1 to both sides:
$x=2+1$
$x=3$

---

(8) $8(x-3)=24$

Step1: Divide both sides by 8

$x-3=\frac{24}{8}$
$x-3=3$

Step2: Isolate $x$ via addition

Add 3 to both sides:
$x=3+3$
$x=6$

---

(9) $3(x+2)=15$

Step1: Divide both sides by 3

$x+2=\frac{15}{3}$
$x+2=5$

Step2: Isolate $x$ via subtraction

Subtract 2 from both sides:
$x=5-2$
$x=3$

---

(10) $6(x+3)=42$

Step1: Divide both sides by 6

$x+3=\frac{42}{6}$
$x+3=7$

Step2: Isolate $x$ via subtraction

Subtract 3 from both sides:
$x=7-3$
$x=4$

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(11) $4(x+3)=24$

Step1: Divide both sides by 4

$x+3=\frac{24}{4}$
$x+3=6$

Step2: Isolate $x$ via subtraction

Subtract 3 from both sides:
$x=6-3$
$x=3$

---

(12) $7(x+6)=49$

Step1: Divide both sides by 7

$x+6=\frac{49}{7}$
$x+6=7$

Step2: Isolate $x$ via subtraction

Subtract 6 from both sides:
$x=7-6$
$x=1$

Answer:

1. $x=5$
2. $x=12$
3. $x=15$
4. $x=16$
5. $x=10$
6. $x=40$
7. $x=3$
8. $x=6$
9. $x=3$
10. $x=4$
11. $x=3$
12. $x=1$