$$3(x-2)=5+c+10$$
$c=3\left(x-7\right)$
$$3x-6=5+c+10$$
$$3x-6=15+c$$
$$15+c=3x-6$$
$$c=3x-6-15$$
$$c=3x-21$$
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$x=\frac{c+21}{3}$
$$3x=15+c+6$$
$$3x=21+c$$
$$3x=c+21$$
$$\frac{3x}{3}=\frac{c+21}{3}$$
$$x=\frac{c+21}{3}$$
$$x=\frac{c}{3}+7$$