Question

solve the following simple equation 8(x-3)-6(2-2x)=2(x+2)-5(5-x)

please answer correct​

Answer 1

❥ Solution :

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

↦ 8x - 24 - 12 - 12x = 2x + 4 - 25 - 5x

↦ - 4x - 36 = -3x - 21

↦ - 4x + 3x = - 21 + 36

↦ - 1x = 15

↦ x = - 15.

∴ Hence, the Value of x is - 15.

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Answer 2

Step-by-step explanation:

Given :-

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

To find :-

Solve the simple equation ?

Solution :-

Given equation is

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

=> (8x-24)-(12-12x) = (2x+4)-(25-5x)

=> 8x-24-12+12x = 2x+4-25+5x

=> (8x+12x)+(-24-12) = (2x+5x) +(4-25)

=> 20x-36 = 7x -21

=> 20x-7x = -21+36

=> 13x = 15

=> x = 15/13

Therefore, x = 15/13

Answer:-

The value of x for the given problem is 15/13

Check :-

If x = 15/13 then LHS of the equation

=> 8[(15/13)-3] -6[2-2(15/13)]

=> 8[(15-39)/13] - 6[(26-30)/13]

=> [8(-24)/13)]-[6(-4/13)]

=> (-192/13)-(-24/13)

=> (-192+24)/13

=> -168/13

If x = 15/13 then RHS

=> 2[(15/13)+2] -5[5-(15/13)]

=> 2[(15+26)/13] -5[(65-15)/13]

=> 2(41/13) - 5(50/13)

=> (82/13)-(250/13)

=> (82-250)/13

=> -168/13

=> LHS = RHS us true for x = 15/13