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Answer 1

Verified answer

Odpowiedź:

a)

-3/(2x - 4) = 5/(8 - 2x)  

-3(8 - 2x) = 5(2x - 4)

-24 + 6x = 10x - 20

6x - 10x = -20 + 24

-4x = 4      /:(-4)

x = -1

b)

-2(x - 5) - 3(x + 4) = -10x + 5

-2x + 10 - 3x - 12 = -10x + 5

-5x + 10x = 5 + 2

5x = 7    /:5

x = 7/5 = 1 2/5

c)

(x - 4)/2 - (2x + 5)/4 = 0,125x - 4

1/2x - 2 - 1/2x - 5/4 = 0,125x - 4

-0,125x = -4 + 2 + 1 1/4

-1/8x = -3/4     /*(-8)

x = 3/4 * 8 = 6

d)

(2x + 5)/6 - (5 -  3x)/3 = 0,75x - 2

1/3x + 5/6 - 5/3 + x = 3/4x - 2

1 1/3x + 5/6 - 10/6 = 3/4x - 2

1 1/3x - 3/4x = -2 + 5/6

1 4/12x - 9/12x = -1 1/6

16/12x - 9/12x = -7/6

7/12x = -7/6     /*12/7

x = -7/6 * 12/7 = -2

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