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(x + 6)(x - 1) - (x + 3)(x - 4) = 5x
x² - x + 6x - 6 - x² + 4x - 3x + 12 - 5x = 0
x = - 6

(x + 3)(x - 2) - (x - 4)(x - 1) = 3x
x² - 2x + 3x - 6 - x² + x + 4x - 4 - 3x = 0
3x = 10
$x= \frac{10}{3}=3 \frac{1}{3}$

(x + 2)(x - 4) - (x - 5)(x - 6) = 3x
x² - 4x + 2x - 8 - x² + 6x + 5x - 30 - 3x = 0
6x = 38
$x = \frac{38}{6}= 6 \frac{1}{3}$

(x + 3)(x - 2) - (x + 4)(x - 3) = 6x
x² - 2x + 3x - 6 - x² + 3x - 4x + 12 - 6x = 0
- 6x = - 6
x = 1