Solve for x 28-7x=-4(-7x-7)

$28 - 7 x = - 4 (- 7 x - 7)$

Step 1

Simplify $- 4 (- 7 x - 7)$ .

Rewrite.

$28 - 7 x = 0 + 0 - 4 (- 7 x - 7)$

Simplify by adding zeros.

$28 - 7 x = - 4 (- 7 x - 7)$

Apply the distributive property.

$28 - 7 x = - 4 (- 7 x) - 4 \cdot - 7$

Multiply.

Multiply $- 7$ by $- 4$ .

$28 - 7 x = 28 x - 4 \cdot - 7$

Multiply $- 4$ by $- 7$ .

$28 - 7 x = 28 x + 28$

Step 2

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

Subtract $28 x$ from both sides of the equation.

$28 - 7 x - 28 x = 28$

Subtract $28 x$ from $- 7 x$ .

$28 - 35 x = 28$

Step 3

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

Subtract $28$ from both sides of the equation.

$- 35 x = 28 - 28$

Subtract $28$ from $28$ .

$- 35 x = 0$

Step 4

Divide each term in $- 35 x = 0$ by $- 35$ and simplify.

Divide each term in $- 35 x = 0$ by $- 35$ .

$\frac{- 35 x}{- 35} = \frac{0}{- 35}$

Simplify the left side.

Cancel the common factor of $- 35$ .

Cancel the common factor.

$\frac{- 35 x}{- 35} = \frac{0}{- 35}$

Divide $x$ by $1$ .

$x = \frac{0}{- 35}$

Simplify the right side.

Divide $0$ by $- 35$ .

$x = 0$