Solve the following equation and verify the answer.

$\frac{3x}{5}=15$

$5x–3=x+17$

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

$3(x+6)=24$

$6x+5=2x+17$

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

$3(x+2)–2(x-1)=7$

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

$6(1–4x)+7(2+5x)=53$