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

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

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

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

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

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

Reorder the terms in parentheses
4x+2x-6=10+(-18x-24)

Remove unnecessary parentheses
+4x+2x-6=+10-18x-24

We move all terms containing x to the left and all other terms to the right. 
+4x+2x+18x=+10-24+6

We simplify left and right side of the equation. 
+24x=-8

We divide both sides of the equation by 24 to get x. 
x=-0.33333333333333