Solve for x 13x+7(-3x-1)=-63

$13 x + 7 (- 3 x - 1) = - 63$

Step 1

Simplify $13 x + 7 (- 3 x - 1)$ .

Simplify each term.

Apply the distributive property.

$13 x + 7 (- 3 x) + 7 \cdot - 1 = - 63$

Multiply $- 3$ by $7$ .

$13 x - 21 x + 7 \cdot - 1 = - 63$

Multiply $7$ by $- 1$ .

$13 x - 21 x - 7 = - 63$

Subtract $21 x$ from $13 x$ .

$- 8 x - 7 = - 63$

Step 2

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

Add $7$ to both sides of the equation.

$- 8 x = - 63 + 7$

Add $- 63$ and $7$ .

$- 8 x = - 56$

Step 3

Divide each term in $- 8 x = - 56$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 56$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 56}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 56}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 56}{- 8}$

Simplify the right side.

Divide $- 56$ by $- 8$ .

$x = 7$