Question

a) 8/7
b) 2
c) 6
d) 27
e) 4

Answer 1

a) 8/7

$\frac{2}{2 + 3x} \: = \: \frac{3}{3 + x + 4}$

$\frac{2}{3x} \: = \: \frac{3}{7 + x}$

$2 \times (7 + x) = 3 \times (2 + 3x) \\ 14 + 2x = 6 \times + 9x \\ 14 - 6 = 9x - 2x \\ 8 = 7x \\ x = \frac{8}{7}$