Answer
$x$ < $\frac{15}{7}$
The equivalent interval notation is $(-\infty, \frac{15}{7})$.
Work Step by Step
$2$ - $4x$ + $5(x - 1)$ < $-6(x - 2)$
$2 - 4x + 5x - 5$ < $-6x + 12$
$x - 3$ < $-6x + 12$
$7x$ < $15$
$x$ < $\frac{15}{7}$
The equivalent interval notation is $(-\infty, \frac{15}{7})$.