2(3+x)=2(3)+2(x)

Solution for 2(3+x)=2(3)+2(x) equation:

2(3+x)=2(3)+2(x)

We simplify the equation to the form, which is simple to understand 
2(3+x)=2(3)+2(x)

Reorder the terms in parentheses
+(+6+2x)=2*(3)+2*(x)

Remove unnecessary parentheses
+6+2x=+2+*(+3+)+2+*(+x+)

Reorder the terms in parentheses
+6+2x=+(+6)+2*(x)

Remove unnecessary parentheses
+6+2x=+6+2+*(+x+)

Reorder the terms in parentheses
+6+2x=+6+(+2x)

Remove unnecessary parentheses
+6+2x=+6+2x

We move all terms containing x to the left and all other terms to the right. 
+2x-2x=+6-6

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

0=0

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