$$c 5 - \frac { 2 x - 7 } { 5 } = 2 x - 3$$
$c_{5}=\frac{12x-22}{5}$
$$5c_{5}-\left(2x-7\right)=10x-15$$
$$5c_{5}-2x+7=10x-15$$
$$5c_{5}+7=10x-15+2x$$
$$5c_{5}+7=12x-15$$
$$5c_{5}=12x-15-7$$
$$5c_{5}=12x-22$$
$$\frac{5c_{5}}{5}=\frac{12x-22}{5}$$
$$c_{5}=\frac{12x-22}{5}$$
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$x=\frac{5c_{5}}{12}+\frac{11}{6}$
$$5c_{5}-2x+7-10x=-15$$
$$5c_{5}-12x+7=-15$$
$$-12x+7=-15-5c_{5}$$
$$-12x=-15-5c_{5}-7$$
$$-12x=-22-5c_{5}$$
$$-12x=-5c_{5}-22$$
$$\frac{-12x}{-12}=\frac{-5c_{5}-22}{-12}$$
$$x=\frac{-5c_{5}-22}{-12}$$
$$x=\frac{5c_{5}}{12}+\frac{11}{6}$$
