Question

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13. 8(x-3) - (6 - 2x) = 2 (x + 2) - 5 (5 - x)
14.) 3 (1 - 4) + 2 (4n – 5) = 5 (n + 2) + 16
please tell me with explanation​

Answer 1

Answer:

Step-by-step explanation:

13 ;  use this basic concepts of algebra to solve the question.

8(x - 3) - (6 - 2x) = 2(x + 2) - 5(5 - x)

or, 8x - 24 - 6 + 2x = 2x + 4 - 5 ×5 + 5x

or, (8x + 2x) - (24 + 6) = (2x + 5x) + 4 - 25

or, 10x - 30 = 7x - 21

or, 10x - 7x = 30 - 21

or, 3x = 9

or, x = 3

hence, value of x = 3

verification :

LHS = 8(x - 3) - (6 - 2x)

= 8(3 - 3) - (6 - 2 × 3)

= 8 × 0 - (6 - 0) = 0

RHS = 2(x + 2) - 5(5 - x)

= 2(3 + 2) - 5(5 - 3)

= 2 (5) - 5(2)

= 10 - 10 = 0

hence, LHS = RHS

so, value of x = 3 is correct.

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3n-12 + 8n-10 = 5n+10 + 16

11n - 22 = 5n + 26

11n - 5n = 26+ 22

6n = 48

n = 48/6

n = 8  

so , the answer is 8.

Answer 2

Answer:

13. firstly remove the brackets

8x-24-6+2x = 2x+4 - 25+5x

(when - symbol move after the bracket, it becomes +)

8x+2x-24-6 = 2x+5x+4-25

10x - 30 = 7x -21

10x-7x = -21+30

3x = 9

x = 9/3 = 3

14. remove the brackets

3-12+8n-10 = 5n+10+16

-9-10+8n = 5n+26

-19+8n = 5n+26

8n-5n = 26+19

3n = 45

n = 45/3 = 15

hope this helps you!!