Question

5. Determinați soluțiile ecuațiilor:
$2x - \frac{1}{3} \times ( \frac{6x - 7}{4} - \frac{5x - 2}{3} ) = \frac{3x}{2} - ( \frac{x}{2} - \frac{1}{3} \times ( \frac{x}{2} - \frac{1}{6} ))$
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Answer 1

Răspuns:

Explicație pas cu pas:

$2x-\frac{1}{3} \cdot \frac{18x-21-20x+8}{12} =\frac{3x}{2} -(\frac{x}{2} -\frac{1}{3} \cdot\frac{3x-1}{6} )$

$2x+\frac{2x+13}{36} =\frac{27x}{18} -(\frac{9x-3x+1}{18} )$

$\frac{74x+13}{36} =\frac{54x}{36} -(\frac{12x+2}{36} )$

74x+13=54x-12x-2

32x=-15

$x=-\frac{15}{32}$