Question

2/3(3x-2) =4/5(2x-3)-4/3​

Answer 1

Answer:

hope it helps

please mark as brainliest

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

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

$= > \frac{6x - 4}{3} = \frac{8x - 12}{5} - \frac{4}{3}$

$= > \frac{6x - 4}{3} = \frac{3(8x - 12) - 5 \times 4}{15}$

$= > \frac{6x - 4}{3} = \frac{24x - 36 - 20}{15}$

$= > 15(6x - 4) = 3(24x - 56)$

$= > 90x - 60 = 72x - 168$

$= > 90x - 72x = - 168 + 60$

$= > 18x = - 108$

$= > x = - \frac{108}{18} = - 6$

$\huge\bold{\boxed{\purple{x=-6}}}$

$\huge\mathbb{CHECK}$

TAKING L.H.S-

$= > \frac{2}{3} (3 \times - 6 - 2)$

$= > \frac{2}{3} ( - 18 - 2)$

$= > \frac{2}{3} \times - 20 = {\bold{\red{ \frac{ - 40}{3}}}}$

TAKING R.H.S

$= > \frac{4}{5} (2 \times - 6 - 3) - \frac{4}{3}$

$= > \frac{4}{5} ( - 12 - 3) - \frac{4}{3}$

$= > \frac{ - 60}{5} - \frac{4}{3}$

$= > \frac{ - 60 \times 3 - 4 \times 5}{15}$

$= > \frac{ - 180 - 20}{15}$

$= > \frac{ - 200}{15} = {\bold{\red{ - \frac{40}{3}}}}$

Therefore,L.H.S=R.H.S