Question

8 (x – 3) – (6 – 2x) = 2 (x + 2) – 5 (5 – x) Solve the equation

Answer 1

8(x-3)-(6-2X)=2(x+2)-5(5-x)
8x - 24 - 6 + 2x = 2x +4 - 25 + 5x 
10x - 30 = 7x - 21 
3x = 9 
x =9/3
 x = 3

Answer 2

answer : x = 3

explanation : 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.