Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
$\frac{x}{4}+\frac{1}{6}=\frac{x}{3}$

Solve the Equation.

$3(2-5x)=4x+25$

Solve the equation.

$\frac{9}{2}+\frac{1}{4}(x+2)=\frac{3}{4}x$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$5x+17=8x+12-3(x+4)$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$-2(5-3x)+x=7x-10$