Question

3/5x-2/3x=1/10 Please let me know this answer!​

Answer 1

Answer:

x = -2/3

Step-by-step explanation:

$\dfrac{3}{5x} - \dfrac{2}{3x} = \dfrac{1}{10}\\\\\text{Taking LCM we get,}\\\\\implies \dfrac{ 3 ( 3x ) - 2 ( 5x ) }{3x \times 5x } = \dfrac{1}{10}\\\\\\\implies \dfrac{ 9x - 10x}{15x^2} = \dfrac{1}{10}\\\\\\\implies \dfrac{ -1x}{15x^2} = \dfrac{1}{10}\\\\\\\implies \dfrac{ -1}{15x} = \dfrac{1}{10}\\\\\text{Cross Multiplying we get,}\\\\\implies -1 \times 10 = 1 \times 15x\\\\\implies -10 = 15x\\\\\implies x = \dfrac{-10}{15} = \dfrac{-2}{3}$

This is the required answer !!

Hope it helps !!

Answer 2

3/5x -2/3x = 1/10

-1/15x = 1/10

15/-1 * -1/15x = 1/10 * 15/-1

x = -3/2