Question

2/3(3x-2)=4/5(2x-3)-4/5 ​

Answer 1

Answer:

$x = \frac{ - 14}{3}$

Step-by-step explanation:

$\frac{2}{3} (3x - 2) = \frac{4}{5} (2x - 3) - \frac{4}{5}$

$= > \frac{2}{3} \times 3x + \frac{2}{3} ( - 2) = \frac{4}{5} \times 2x + \frac{4}{5} ( - 3) - \frac{4}{5}$

$= > 2x + \frac{2}{3} ( - 2) = \frac{4 \times 2}{5} x + \frac{4}{5} ( - 3) - \frac{4}{5}$

$= > 2x + \frac{2( -2 )}{3} = \frac{8}{5} x + \frac{4}{5} ( - 3) - \frac{4}{5}$

$= > 2x + \frac{ - 4}{3} = \frac{8}{5} x + \frac{4( - 3)}{5} - \frac{4}{5}$

$= > 2x - \frac{4}{3} = \frac{8}{5} x + \frac{ - 12}{5 } - \frac{4}{5}$

$= > 2x - \frac{4}{3} = \frac{8}{5}x - \frac{12}{5} - \frac{4}{5}$

$= > 2x - \frac{4}{3} = \frac{8}{5} x + \frac{ - 12 - 4}{5}$

$= > 2x - \frac{4}{3} = \frac{8}{5} x - \frac{16}{5}$

$= > 2x - \frac{4}{3} - \frac{8}{5} x = - \frac{16}{5}$

$= > \frac{2}{5} x - \frac{4}{3} = - \frac{16}{5}$

$= > \frac{2}{5} x = - \frac{16}{5} + \frac{4}{3}$

$= > \frac{2}{5} x = - \frac{28}{15}$

$= > x = \frac{ - 28}{15}$

$= > x = \frac{ - 28}{15} \times ( \frac{5}{2} )$

$= > x = \frac{ - 28 \times 5}{15 \times 2}$

$= > x = \frac{ - 140}{30}$

$= > x = \frac{ - 14}{3}$