6+4(3-k)=2(-2k+9)

Solution for 6+4(3-k)=2(-2k+9) equation:

 6+4(3-k)=2(-2k+9)

We simplify the equation to the form, which is simple to understand 
6+4(3-k)=2(-2k+9)

Reorder the terms in parentheses
6+(+12-4k)=2*(-2k+9)

Remove unnecessary parentheses
+6+12-4k=+2+*(-2k+9+)

Reorder the terms in parentheses
6+12-4k=+(-4k+18)

Remove unnecessary parentheses
+6+12-4k=-4k+18

We move all terms containing k to the left and all other terms to the right. 
-4k+4k=+18-6-12

We simplify left and right side of the equation. 
k=0

0=0

This equation is an identity, so all real numbers are solutions.