2(3)+4(-2)=10

Solution for 2(3)+4(-2)=10 equation:

2(3)+4(-2)=10

We simplify the equation to the form, which is simple to understand 
2(3)+4(-2)=10

Reorder the terms in parentheses
+(+6)+4*(-2)=10

Remove unnecessary parentheses
+6+4+*(-2+)=+10

Reorder the terms in parentheses
+6+(-8)=10

Remove unnecessary parentheses
+6-8=+10

We move all terms containing  to the left and all other terms to the right. 
0=+10-6+8

We simplify left and right side of the equation. 
0=+12

0=12

The left and right sides are not equal, therefore there is no solution. This equation is invalid.