Answer:
x = 30/51
Step-by-step explanation:
[tex] \frac{2}{3} x + \frac{1}{6} = - \frac{3}{4} x + 1 \\ \frac{2}{3} x + \frac{3}{4} x = 1 - \frac{1}{6} \\ \frac{8}{12} x + \frac{9}{12}x = \frac{6}{6} - \frac{1}{6} \\ \frac{17}{12} x = \frac{5}{6} \\ x = \frac{5}{6} \times \frac{12}{17} \\ x = \frac{60}{102} \\ x = \frac{30}{51} [/tex]
