Explicație pas cu pas:
a)
[tex]\frac{1}{4}\Big(5 - \frac{1}{6} \div x\Big) = \frac{6}{5} \iff 5 - \frac{1}{6x} = \frac{24}{5} \\ \frac{1}{6x} = 5 - \frac{24}{5} \iff \frac{1}{6x} = \frac{25 - 24}{5} \\ \frac{1}{6x} = \frac{1}{5} \implies \bf x = \frac{5}{6} [/tex]
b)
[tex]\frac{2}{5}\Big(3 + \frac{1}{4} \div x\Big) = \frac{4}{3} \iff 3 + \frac{1}{4x} = \frac{20}{6} \\ \frac{1}{4x} = \frac{10}{3} - 3 \iff \frac{1}{4x} = \frac{10 - 9}{3} \\ \frac{1}{4x} = \frac{1}{3} \implies \bf x = \frac{3}{4} [/tex]
c)
[tex]\frac{1}{3}\Big(\frac{1}{5} \div x - 7\Big) = - \frac{5}{2} \iff \frac{1}{5x} - 7 = - \frac{15}{2} \\ \frac{1}{5x} = 7 - \frac{15}{2} \iff \frac{1}{5x} = \frac{14 - 15}{2} \\ \frac{1}{5x} = - \frac{1}{2} \implies \bf x = - \frac{2}{5} [/tex]
