0.4(2-m)=0.2(m+7)

Solution for 0.4(2-m)=0.2(m+7) equation:

0.4(2-m)=0.2(m+7)

We simplify the equation to the form, which is simple to understand 
0.4(2-m)=0.2(m+7)

Reorder the terms in parentheses
+( + 0.8-0.4m)=0.2*(m+7)

Remove unnecessary parentheses
 + 0.8-0.4m=0.2+*(+m+7+)

Reorder the terms in parentheses
 + 0.8-0.4m=+( + 0.2m+1.4)

Remove unnecessary parentheses
 + 0.8-0.4m=0.2m+1.4

We move all terms containing m to the left and all other terms to the right. 
-0.4m-0.2m=+1.4-0.8

We simplify left and right side of the equation. 
-0.6m=0.6

We divide both sides of the equation by -0.6 to get m. 
m=-1