Find All Complex Solutions -4(x+5)=-4x-20

$- 4 (x + 5) = - 4 x - 20$

Simplify $- 4 (x + 5)$ .

Rewrite.

$0 + 0 - 4 (x + 5) = - 4 x - 20$

Simplify by adding zeros.

$- 4 (x + 5) = - 4 x - 20$

Apply the distributive property.

$- 4 x - 4 \cdot 5 = - 4 x - 20$

Multiply $- 4$ by $5$ .

$- 4 x - 20 = - 4 x - 20$

Move all terms containing $x$ to the left side of the equation.

Add $4 x$ to both sides of the equation.

$- 4 x - 20 + 4 x = - 20$

Combine the opposite terms in $- 4 x - 20 + 4 x$ .

Add $- 4 x$ and $4 x$ .

$0 - 20 = - 20$

Subtract $20$ from $0$ .

$- 20 = - 20$

Since $- 20 = - 20$ , the equation will always be true.

Always true