-2(5x+8)=-3(2x-1)+1

Solution for -2(5x+8)=-3(2x-1)+1 equation:

-2(5x+8)=-3(2x-1)+1

We simplify the equation to the form, which is simple to understand 
-2(5x+8)=-3(2x-1)+1

Reorder the terms in parentheses
+(-10x-16)=-3*(2x-1)+1

Remove unnecessary parentheses
-10x-16=-3+*(+2x-1+)+1

Reorder the terms in parentheses
-10x-16=+(-6x+3)+1

Remove unnecessary parentheses
-10x-16=-6x+3+1

We move all terms containing x to the left and all other terms to the right. 
-10x+6x=+3+1+16

We simplify left and right side of the equation. 
-4x=+20

We divide both sides of the equation by -4 to get x. 
x=-5