Răspuns:
a)
[tex]\[ \frac{3x + 10}{4} - \frac{7x + 5}{2} = 2\left[\frac{9x - 4}{3} - 3\left(\frac{x}{2} + \frac{7x - 6}{4}\right)\right] \][/tex]
[tex]\[ 3(3x + 10) - 6(7x + 5) = 2 \cdot 4(9x - 4) - 2 \cdot 12\left(\frac{x}{2} + \frac{7x - 6}{4}\right) \]
[/tex]
Simplificare
[tex]
\[ 9x + 30 - 42x - 30 = 8(9x - 4) - 12\left(x + \frac{7x - 6}{2}\right) \][/tex]
Simplificare suplimentară:
[tex]\[ -33x = 72x - 32 - 12x - 42 \][/tex]
[tex]\[ -33x - 60x = -74 \][/tex]
[tex]\[ -93x = -74 \][/tex]
[tex]\[ x = \frac{74}{93} \][/tex]
Deci, soluția ecuației date
