Question

Rezolvați ecuația :

$\it\Big[\dfrac{6x+5}{8}\Big]=\dfrac{15x-7}{5}$

Answer 1

$\dfrac{6x+5}{8}=\dfrac{15x-7}{5}$

$5 \cdot(6x + 5) = 8 \cdot(15x - 7)$

$30x + 25 = 120x - 56$

$30x + 25 + 56 = 120x$

$30x + 81 = 120x$

$81 = 120x - 30$

$90x = 81$

$x = \dfrac{81}{90}$

$x = \dfrac{ \not81}{ \not90}$

$\boxed{x = \dfrac{9}{10} }$

Answer 2

$\frac{6x+5}{8} =\frac{15x-7}{5} \\8*(15x-7)=5*(6x+5)\\120x-56=30x+25\\120x-30x=25+56\\90x=81\\x=\frac{81}{90}\\\\x=\frac{9}{10}$