a) 60 • 20 • x = 72 000; б) 146 - (540 : x + 36) = 50; в) 25 • (k • 8) • 20 = 48 000; г) 8000 : (25x + 50) - 15 = 90 - 65; Д) (Z - 12) : 6 + 45 = 211; e) 350 : (4y - 62) = 320 -…

Let's solve each equation step by step.

a) \( 60 \cdot 20 \cdot x = 72,000 \)

1. Calculate \( 60 \cdot 20 \): \[ 60 \cdot 20 = 1200 \]

2. The equation becomes: \[ 1200 \cdot x = 72,000 \]

3. To find \( x \), divide both sides by 1200: \[ x = \frac{72,000}{1200} = 60 \]

b) \( 146 - \left(\frac{540}{x} + 36\right) = 50 \)

1. Simplify the equation: \[ 146 - 36 - \frac{540}{x} = 50 \] \[ 110 - \frac{540}{x} = 50 \]

2. Subtract 110 from both sides: \[ -\frac{540}{x} = -60 \]

3. Multiply both sides by -1: \[ \frac{540}{x} = 60 \]

4. Cross-multiply to solve for \( x \): \[ 540 = 60x \quad \Rightarrow \quad x = \frac{540}{60} = 9 \]

в) \( 25 \cdot (k \cdot 8) \cdot 20 = 48,000 \)

1. Calculate \( 25 \cdot 20 \): \[ 25 \cdot 20 = 500 \]

2. The equation becomes: \[ 500 \cdot (k \cdot 8) = 48,000 \]

3. Divide both sides by 500: \[ k \cdot 8 = \frac{48,000}{500} = 96 \]

4. Divide both sides by 8: \[ k = \frac{96}{8} = 12 \]

г) \( \frac{8000}{25x + 50} - 15 = 90 - 65 \)

1. Simplify the right-hand side: \[ 90 - 65 = 25 \]

2. Rewrite the equation: \[ \frac{8000}{25x + 50} - 15 = 25 \]

3. Add 15 to both sides: \[ \frac{8000}{25x + 50} = 40 \]

4. Cross-multiply: \[ 8000 = 40(25x + 50) \]

5. Distribute: \[ 8000 = 1000x + 2000 \]

6. Subtract 2000 from both sides: \[ 6000 = 1000x \]

7. Divide by 1000: \[ x = 6 \]

Д) \( \frac{Z - 12}{6} + 45 = 211 \)

1. Subtract 45 from both sides: \[ \frac{Z - 12}{6} = 166 \]

2. Multiply both sides by 6: \[ Z - 12 = 996 \]

3. Add 12 to both sides: \[ Z = 1008 \]

e) \( \frac{350}{4y - 62} = 320 - 145 \)

1. Simplify the right-hand side: \[ 320 - 145 = 175 \]

2. Rewrite the equation: \[ \frac{350}{4y - 62} = 175 \]

3. Cross-multiply: \[ 350 = 175(4y - 62) \]

4. Distribute: \[ 350 = 700y - 10850 \]

5. Add 10850 to both sides: \[ 11200 = 700y \]

6. Divide by 700: \[ y = \frac{11200}{700} = 16 \]

Summary of Results:

• a) \( x = 60 \)
• b) \( x = 9 \)
• в) \( k = 12 \)
• г) \( x = 6 \)
• Д) \( Z = 1008 \)
• e) \( y = 16 \)