$$\frac{-15}{4}-17x=9+10x$$
$x=-\frac{17}{36}\approx -0.472222222$
$$-\frac{15}{4}-17x=9+10x$$
$$-\frac{15}{4}-17x-10x=9$$
$$-\frac{15}{4}-27x=9$$
$$-27x=9+\frac{15}{4}$$
$$-27x=\frac{36}{4}+\frac{15}{4}$$
$$-27x=\frac{36+15}{4}$$
$$-27x=\frac{51}{4}$$
$$x=\frac{\frac{51}{4}}{-27}$$
$$x=\frac{51}{4\left(-27\right)}$$
$$x=\frac{51}{-108}$$
$$x=-\frac{17}{36}$$
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