Solve for x 2x-(5x-4)=4(-x+1)

$2 x - (5 x - 4) = 4 (- x + 1)$

Step 1

Simplify $2 x - (5 x - 4)$ .

Simplify each term.

Apply the distributive property.

$2 x - (5 x) - - 4 = 4 (- x + 1)$

Multiply $5$ by $- 1$ .

$2 x - 5 x - - 4 = 4 (- x + 1)$

Multiply $- 1$ by $- 4$ .

$2 x - 5 x + 4 = 4 (- x + 1)$

Subtract $5 x$ from $2 x$ .

$- 3 x + 4 = 4 (- x + 1)$

Step 2

Simplify $4 (- x + 1)$ .

Apply the distributive property.

$- 3 x + 4 = 4 (- x) + 4 \cdot 1$

Multiply.

Multiply $- 1$ by $4$ .

$- 3 x + 4 = - 4 x + 4 \cdot 1$

Multiply $4$ by $1$ .

$- 3 x + 4 = - 4 x + 4$

Step 3

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

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

$- 3 x + 4 + 4 x = 4$

Add $- 3 x$ and $4 x$ .

$x + 4 = 4$

Step 4

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 $4$ .

$x = 0$