Solve for x -5x+4=-4(x-1)

$- 5 x + 4 = - 4 (x - 1)$

Step 1

Simplify $- 4 (x - 1)$ .

Rewrite.

$- 5 x + 4 = 0 + 0 - 4 (x - 1)$

Simplify by adding zeros.

$- 5 x + 4 = - 4 (x - 1)$

Apply the distributive property.

$- 5 x + 4 = - 4 x - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$- 5 x + 4 = - 4 x + 4$

Step 2

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

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

$- 5 x + 4 + 4 x = 4$

Add $- 5 x$ and $4 x$ .

$- x + 4 = 4$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- x = 4 - 4$

Subtract $4$ from $4$ .

$- x = 0$

Step 4

Divide each term in $- x = 0$ by $- 1$ and simplify.

Divide each term in $- x = 0$ by $- 1$ .

$\frac{- x}{- 1} = \frac{0}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{0}{- 1}$

Divide $x$ by $1$ .

$x = \frac{0}{- 1}$

Simplify the right side.

Divide $0$ by $- 1$ .

$x = 0$