Question

1. $5x - 4 = 21$
2. $42 = 6 + 9x$
3. $8 - 2x = 10$
4. $22 = 3x - 5$
5. $5 = 5x - 20$
6. $5x - 3 = 28$

Explanation:

Step1: Solve $5x - 4 = 21$

Add 4 to both sides: $5x = 21 + 4 = 25$
Divide by 5: $x = \frac{25}{5} = 5$

Step2: Solve $42 = 6 + 9x$

Subtract 6 from both sides: $9x = 42 - 6 = 36$
Divide by 9: $x = \frac{36}{9} = 4$

Step3: Solve $8 - 2x = 10$

Subtract 8 from both sides: $-2x = 10 - 8 = 2$
Divide by -2: $x = \frac{2}{-2} = -1$

Step4: Solve $22 = 3x - 5$

Add 5 to both sides: $3x = 22 + 5 = 27$
Divide by 3: $x = \frac{27}{3} = 9$

Step5: Solve $5 = 5x - 20$

Add 20 to both sides: $5x = 5 + 20 = 25$
Divide by 5: $x = \frac{25}{5} = 5$

Step6: Solve $5x - 3 = 28$

Add 3 to both sides: $5x = 28 + 3 = 31$
Divide by 5: $x = \frac{31}{5} = 6.2$

Answer:

1. $x=5$
2. $x=4$
3. $x=-1$
4. $x=9$
5. $x=5$
6. $x=\frac{31}{5}$ or $x=6.2$