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

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

Step 1

Subtract $5$ from $4$ .

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

Step 2

Simplify $- 4 (x - 7)$ .

Apply the distributive property.

$- 5 x - 1 = - 4 x - 4 \cdot - 7$

Multiply $- 4$ by $- 7$ .

$- 5 x - 1 = - 4 x + 28$

Step 3

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

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

$- 5 x - 1 + 4 x = 28$

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

$- x - 1 = 28$

Step 4

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

Add $1$ to both sides of the equation.

$- x = 28 + 1$

Add $28$ and $1$ .

$- x = 29$

Step 5

Divide each term in $- x = 29$ by $- 1$ and simplify.

Divide each term in $- x = 29$ by $- 1$ .

$\frac{- x}{- 1} = \frac{29}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{29}{- 1}$

Divide $x$ by $1$ .

$x = \frac{29}{- 1}$

Simplify the right side.

Divide $29$ by $- 1$ .

$x = - 29$