Solve for x (-5x+5)+1=-4(x+7)

$(- 5 x + 5) + 1 = - 4 (x + 7)$

Step 1

Add $5$ and $1$ .

$- 5 x + 6 = - 4 (x + 7)$

Step 2

Simplify $- 4 (x + 7)$ .

Apply the distributive property.

$- 5 x + 6 = - 4 x - 4 \cdot 7$

Multiply $- 4$ by $7$ .

$- 5 x + 6 = - 4 x - 28$

Step 3

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

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

$- 5 x + 6 + 4 x = - 28$

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

$- x + 6 = - 28$

Step 4

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

Subtract $6$ from both sides of the equation.

$- x = - 28 - 6$

Subtract $6$ from $- 28$ .

$- x = - 34$

Step 5

Divide each term in $- x = - 34$ by $- 1$ and simplify.

Divide each term in $- x = - 34$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 34}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 34}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 34}{- 1}$

Simplify the right side.

Divide $- 34$ by $- 1$ .

$x = 34$