[tex] \sqrt{4 {x}^{2} - 12x + 9 } + 3 \times |x - \frac{1}{2} | + \sqrt{3} - 2 = 2 \times |x - \frac{3}{2} | + 9 - \sqrt{3} [/tex]

[tex] |2x - 3| + 3 \times |x - \frac{1}{2} | - 2 \times |x - \frac{3}{2} | = 9 - 2[/tex]

[tex] |2(x - \frac{3}{2})| + 3 \times |x - \frac{1}{2} | - 2 \times |x - \frac{3}{2} | = 7[/tex]

[tex]3 |x - \frac{1}{2} | = 7[/tex]

Ответ:

[tex]x = \frac{17}{6} [/tex]

[tex]x = - \frac{11}{6} [/tex]