Question

$\frac{2x - 5}{7} + \frac{x + 4}{2} = \frac{5x - 7}{14} - \frac{x}{2}$
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Answer 1

E posibil sa fie exercitiul gresit ptc rezultatul e cam ciudat

Answer 2

Răspuns: $x=-\frac{25}{13}$

Explicație pas cu pas:

1) Ducem toate fractiile la acelasi numitor(14)

$\frac{4x-10}{14}+ \frac{7x+28}{14}=\frac{5x-7}{14} -\frac{7x}{14} <=> \frac{4x-10+7x+28}{14} =\frac{5x-7-7x}{14} <=> \frac{11x+18}{14} =\frac{-2x-7}{14}$

2) Inmultim in cruce $\frac{11x+18}{14} =\frac{-2x-7}{14} <=> 14(-2x-7)=14(11x+18)$ 14 se simplifica si ramane $-2x-7=11x+18 <=> -25=13x <=> x=\frac{-25}{13} <=>x=-\frac{25}{13}$