Question

Rezolvati in R ecuatia:
x+3-2/3(x-1)=-1/3(x+5)+2

Answer 1

$x+3- \frac{2}{3} (x-1)= \frac{-1}{3} (x+5)+2$
$x+3+ \frac{-2}{3}x+ \frac{2}{3}= (\frac{-1}{3})(x)+ (\frac{-1}{3})(5)+2$
$x+3+ \frac{-2}{3}x+ \frac{2}{3}= \frac{-1}{3}x+ \frac{-5}{3}+2$
$(x+ \frac{-2}{3}x)+(3+ \frac{2}{3})=( \frac{-1}{3}x)+( \frac{-5}{3}+2)$
$\frac{1}{3}x+ \frac{11}{3}= \frac{-1}{3}x+ \frac{1}{3}$
$\frac{1}{3}x+ \frac{11}{3}+ \frac{1}{3}x= \frac{-1}{3}x+ \frac{1}{3}+ \frac{1}{3}x$
$\frac{2}{3}x+ \frac{11}{3}= \frac{1}{3}$
$\frac{2}{3}x+ \frac{11}{3}- \frac{11}{3}= \frac{1}{3}- \frac{11}{3}$
$\frac{2}{3}x= \frac{-10}{3}$
$(\frac{3}{2})*(\frac{2}{3}x)= (\frac{3}{2})*\frac{-10}{3}$
x=−5