Solve the following equation and verify the answer.

$3(x+6)=24$

$6x+5=2x+17$

$\frac{x}{2}=\frac{x}{3}+1$

$3(x+2)–2(x-1)=7$

$5(x-1)+2(x+3)+6=0$

$6(1–4x)+7(2+5x)=53$

$3(x+6)+2(x+3)=64$

$16(3x–5)–10(4x–8)=40$

$\frac{n}{5}-5=\frac{n}{6}+\frac{1}{2}$