15(2-x)+3(x+6)=10-4(6+2x)

Solution for 15(2-x)+3(x+6)=10-4(6+2x) equation:

15(2-x)+3(x+6)=10-4(6+2x)

We simplify the equation to the form, which is simple to understand 
15(2-x)+3(x+6)=10-4(6+2x)

Reorder the terms in parentheses
+(+30-15x)+3*(x+6)=10-4*(6+2x)

Remove unnecessary parentheses
+30-15x+3+*(+x+6+)=+10-4+*(+6+2x+)

Reorder the terms in parentheses
+30-15x+(+3x+18)=10-4*(6+2x)

Remove unnecessary parentheses
+30-15x+3x+18=+10-4+*(+6+2x+)

Reorder the terms in parentheses
+30-15x+3x+18=10+(-24-8x)

Remove unnecessary parentheses
+30-15x+3x+18=+10-24-8x

We move all terms containing x to the left and all other terms to the right. 
-15x+3x+8x=+10-24-30-18

We simplify left and right side of the equation. 
-4x=-62

We divide both sides of the equation by -4 to get x. 
x=15.5