7(x-2)+(x-3)*(-10)=5(x-8)

Solution for 7(x-2)+(x-3)*(-10)=5(x-8) equation:

7(x-2)+(x-3)*(-10)=5(x-8)

We simplify the equation to the form, which is simple to understand 
7(x-2)+(x-3)*(-10)=5(x-8)

Reorder the terms in parentheses
+(+7x-14)+(x-3)*(-10)=5*(x-8)

Remove unnecessary parentheses
+7x-14+(+x-3+)+*(-10+)=+5+*(+x-8+)

Reorder the terms in parentheses
multiplication of parentheses
+7x-14+(-10x+30)=5*(x-8)



Remove unnecessary parentheses
+7x-14-10x+30=+5+*(+x-8+)

Reorder the terms in parentheses
+7x-14-10x+30=+(+5x-40)

Remove unnecessary parentheses
+7x-14-10x+30=+5x-40

We move all terms containing x to the left and all other terms to the right. 
+7x-10x-5x=-40+14-30

We simplify left and right side of the equation. 
-8x=-56

We divide both sides of the equation by -8 to get x. 
x=7