Question

7x-2/5x-2=3/2 find for x

Answer 1

Answer:

Step-by-step explanation:

7x / 2 - 5x / 2 = 20x / 3 + 10

(7x - 5x) / 2 = 20x / 3 + 10

2x / 2 = 20x / 3 + 10

x = 20x / 3 + 10

- 10 = 20x / 3 - x

- 10 = (20x - 3x) / 3

- 30 = 17x

x = - 30/17

Answer 2

Solution:-

$\frac{7x - 2}{5x - 2} = \frac{3}{2} \\ 2(7x - 2) = 3(5x - 2) \\ 14x - 4 = 15x - 6 \\ 15x - 14x = - 6 + 4 \\ x = - 2$

Verification:-

$\frac{7( - 2) - 2}{5( - 2) - 2} = \frac{3}{2} \\ \frac{ - 14 - 2}{ - 10 - 2} = \frac{3}{2} \\ \frac{14 - 2}{10 - 2} = \frac{3}{2} \\ \frac{12}{8} = \frac{3}{2} \\ \frac{6}{4} = \frac{3}{2} \\ \frac{3}{2} = \frac{3}{2}$

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