6(3x+7)-4(5x-2)=10

Solution for 6(3x+7)-4(5x-2)=10 equation:

6(3x+7)-4(5x-2)=10

We simplify the equation to the form, which is simple to understand 
6(3x+7)-4(5x-2)=10

Reorder the terms in parentheses
+(+18x+42)-4*(5x-2)=10

Remove unnecessary parentheses
+18x+42-4+*(+5x-2+)=+10

Reorder the terms in parentheses
+18x+42+(-20x+8)=10

Remove unnecessary parentheses
+18x+42-20x+8=+10

We move all terms containing x to the left and all other terms to the right. 
+18x-20x=+10-42-8

We simplify left and right side of the equation. 
-2x=-40

We divide both sides of the equation by -2 to get x. 
x=20