Question

Rezolvati ecuatia in R :
2·[$\frac{3}{2}$ · (x + $\frac{x+2}{3}$ ) - $\frac{x}{4}$ ] = $\frac{3x-4}{2}$

Answer 1

2[ 3x/2+ 3(x+2)/2•3-x/4]=3x-4/2, inmultim totul cu 2: 4[ 3x/2+x+2/2-x/4]=3x-4, amplificam cu 2 in paranteza: 4( 6x/4+2x+4/4-x/4)=3x-4, 4( 6x+2x+4-x/4)=3x-4, inainte de egal se simplifica 4 din fata parantezei cu numitorul 4 si facem calculul la numarator: 7x+4=3x-4 |-3x, 4x+4=-4, 4(x+1)=-4, x+1=-1, x=-1-1=-2