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in Simple Equation by (48.4k points)
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Solve the given below equations and also verify the answer.

1. 2x + 1 = 9
2. 5x – 4 = 26
3. 5x – 2x + 7 = 31
4. 5x + 8 = 12 + 6
5. 12x + 3x = 60
6. 7x/9 = 21
7. 2x/3 – x/2 = 3
8. 3x/4 – 2x/5 = 7
9. (7x+1)/2 +1=11
10. 3l/2 = 2/3
11. 7m + 19/2 = 13
12. 6z + 10 = -2
13. q/4 + 7 = 5
14. 4(2 – x) = 8
15. 3(n – 5) = 21
16. 4 = 5(t – 2)
17. 0 = 16+4(m – 6)

1 Answer

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Best answer

1. 2x + 1 = 9

⇒ 2x = 9 – 1 = 8 (Shifting 1 to other side)

⇒ 2x/2 = 8/2 ⇒ x = 4

Verification of answer 

LHS = 2x +1

= 2 x 4 + 1

= 8 + 1

= 9 = RHS

So, x = 4 is correct answer.

2. 5x – 4 = 26

⇒ 5x = 26 + 4 (Transferring side)

⇒ 5x = 30

⇒ 5x/5 = 30/5

⇒ x = 6

Verification of answer

LHS = 5x – 4

= 5 x 6 – 4 = 30 – 4

= 26 = RHS

So x = 6 is correct answer.

3. 5x – 2x + 7 = 31

3x + 7 = 31

⇒ 3x = 31 – 7 (Transferring side)

3x = 24

⇒ 3x/3 = 24/3 (Dividing both sides by 3)

x = 8

Verification of answer

LHS = 5x – 2x + 7

= 5 x 8 – 2 x 8 + 7

= 40 – 16 +7 = 31 = RHS

So x = 8 is correct answer.

4. 5x + 8 = 12 + 6

⇒ 5x = 18 – 8 = 10 (shifting 8 to other side)

⇒ 5x/5 = 10/5 (Dividing both sides by 5)

⇒ x = 2

Verification of answer

LHS = 5x + 8

= 5 x 2 + 8 = 18

RHS = 12 + 6 = 18

So x = 2 is correct answer.

5. 12x + 3x = 60

⇒ 15 = 60

⇒ 15x/5 = 60/15 = 4 (Dividing by 15 both sides)

⇒ x = 4

Verification of answer

LHS = 12x + 3x = 15x

= 15 x 4 = 60 = RHS

So x = 4 is correct answer.

12. 6z + 10 = -2

⇒ 6z = -2 – 10

⇒ 6z = -12

z = – 12/6 = -2

Verification of answer

LHS = 6z + 10

= 6 x (-2) + 10

= -12 + 10

= -2 = RHS

So z = -2 is correct answer.

13. q/4 + 7 = 5

⇒ q/4 = 5 – 7 = -2

q = -2 x 4 = -8

Verification of answer

LHS = q/4 + 7 = -8/4 + 7

= -2 +7 = 5 = RHS

So q = -8 is correct answer.

14. 4(2 – x) = 8

⇒ 2 – x = 8/4

⇒ 2 – x = 2

⇒ x = 2 – 2 = 0

Verification of answer

LHS = 4(2 – x)

= 4(2 – 0) = 8 = RHS

So x = 0 is correct answer.

15. 3(n -5) = 21

⇒ n – 5 = 21/3 = 7

⇒ n = 7 + 5 = 12

Verification of answer

LHS = 3(n – 5)

= 3(12 – 5) = 3(7)

= 21 = RHS

So n = 12 is correct answer.

17. 0 = 16 + 4(m – 6)

⇒ 16 + 4(m – 6) = 0

⇒ 4(m – 6) = -16

⇒ m – 6 = -16/4 = -4

⇒ m = -4 + 6 = 2

Verification of answer

RHS = 16 + 4(m – 6)

= 16 + 4(2 – 6)

= 16 + 4(-4)

= 16 – 16 = 0 = LHS

So m = 2 is correct answer.

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