8 (x – 3) – (6 – 2x) = 2 (x + 2) – 5 (5 – x) Solve the equation
Answers
Answered by
293
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
8x - 24 - 6 + 2x = 2x +4 - 25 + 5x
10x - 30 = 7x - 21
3x = 9
x =9/3
x = 3
Answered by
130
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.
Similar questions