[tex]7(a + 4) = 2(b + 14)[/tex]
[tex]7a + 28 = 2b + 14[/tex]
[tex]7a + 28 - 14 = 2b[/tex]
[tex]7a + 14= 2b \: | \div b[/tex]
[tex] \frac{7a + 14}{b} = 2[/tex]
[tex] \frac{7a}{b} + \frac{14}{b} = 2[/tex]
[tex]7 \times \frac{a}{b} + \frac{14}{b} = 2 \: | \div 7[/tex]
[tex] \frac{a}{b} + \frac{2}{b} = \frac{2}{7} [/tex]
[tex] \frac{a+2}{b} = \frac{2}{7} [/tex]
[tex] \frac{a }{b} +\frac{2}{b}= \frac{2}{7} [/tex]
[tex] \frac{a}{b} = \frac{2}{7} -\frac{2}{b}[/tex]
[tex] \frac{a}{b} = \frac{2b}{7b}-\frac{14}{7b} [/tex]
[tex] \frac{a}{b} = \frac{2b-14}{7b}[/tex]
[tex] \frac{a}{b} = \frac{2(b-7)}{7b} [/tex]