Question

Rezolvati in multimea Q ecuatia:
$a)\frac{1}{2} x- \frac{1}{3} = \frac{1}{6} x+2;$
$b) -\frac{2}{3} x-0,5=0,25x+2;$
$c) \frac{1}{2}.(x-1)+ \frac{1}{14}=-\frac{2}{7} .(3-x)$
$d) \frac{3}{5}.(7-2x)= \frac{1}{2} .(x+3)+0,1.$

Answer 1

$a)~3x -2 =x + 12$
$3x - x = 12 + 2$    
$x=14:2$
$2x=14$
$x = 7$

$b)~ -2x |3 - 5 |10 = 25x |100+ 2$
$-2x | 3 - 1 |2 = x |4 + 2$
$- 8x - 6 = 3x + 12$
$8x + 3x = -6 -12$
$11x = - 18$
$x = -18|11$

$c)~ 7 * ( x -1) + 1 = -4 *( 3 -x )$
$7x - 7 + 1 = - 12 + 4x$
$7x - 7 + 1 = - 12 + 4x$
$7x - 4x = - 12 + 6$
$3x = - 6$
$x = - 6 /3$
$x = - 3$

$d)~ 6 * ( 7 -2x ) = 5*( x +3) + 1$
 $42 - 12x = 5x + 15 + 1$
$-12x - 5x = 16 - 42$
$- 17x = -26$
  $x = 26 |17$