Question

5+2x/3=4x-7
con comprobación

Answer 1

$5+ \frac{2x}{3} =4x-7 \\ \\ 3(5)+3( \frac{2x}{3}) =3(4x)-3(7) \\ \\ 15+2x=12x-21 \\ \\ 2x-12x=-21-15 \\ \\ -10x=-36 \\ \\ x= \frac{18}{5} \\ \\ Comprobemos: \\ \\ 5+ \frac{2( \frac{18}{5} )}{3} =4( \frac{18}{5}) -7 \\ \\ 5+ \frac{ \frac{36}{5} }{3} = \frac{72}{5} -7 \\ \\ 5+ \frac{36}{15} = \frac{72}{5}- \frac{35}{5} \\ \\ \frac{25}{5}+ \frac{12}{5}= \frac{72-35}{5} \\ \\ \boxed{ \frac{37}{5} = \frac{37}{5} } \quad\checkmark\quad\checkmark \\ \\ :)$