Solve for x -8(x+5)=-3x-7+x-3

$- 8 (x + 5) = - 3 x - 7 + x - 3$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 3 x - 7 + x - 3 = - 8 (x + 5)$

Simplify $- 3 x - 7 + x - 3$ .

Add $- 3 x$ and $x$ .

$- 2 x - 7 - 3 = - 8 (x + 5)$

Subtract $3$ from $- 7$ .

$- 2 x - 10 = - 8 (x + 5)$

Simplify $- 8 (x + 5)$ .

Apply the distributive property.

$- 2 x - 10 = - 8 x - 8 \cdot 5$

Multiply $- 8$ by $5$ .

$- 2 x - 10 = - 8 x - 40$

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

Add $8 x$ to both sides of the equation.

$- 2 x - 10 + 8 x = - 40$

Add $- 2 x$ and $8 x$ .

$6 x - 10 = - 40$

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

Add $10$ to both sides of the equation.

$6 x = - 40 + 10$

Add $- 40$ and $10$ .

$6 x = - 30$

Divide each term in $6 x = - 30$ by $6$ and simplify.

Divide each term in $6 x = - 30$ by $6$ .

$\frac{6 x}{6} = \frac{- 30}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 30}{6}$

Divide $x$ by $1$ .

$x = \frac{- 30}{6}$

Simplify the right side.

Divide $- 30$ by $6$ .

$x = - 5$