Find the General Form of the Line y+5=-2(x-4)

$y + 5 = - 2 (x - 4)$

The general form of a linear equation is $A x + B y + C = 0$ .

Simplify the right side.

Simplify $- 2 (x - 4)$ .

Apply the distributive property.

$y + 5 = - 2 x - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$y + 5 = - 2 x + 8$

Move all the expressions to the left side of the equation.

Add $2 x$ to both sides of the equation.

$y + 5 + 2 x = 8$

Subtract $8$ from both sides of the equation.

$y + 5 + 2 x - 8 = 0$

Simplify $y + 5 + 2 x - 8$ .

Subtract $8$ from $5$ .

$y + 2 x - 3 = 0$

Reorder $y$ and $2 x$ .

$2 x + y - 3 = 0$