Solve for x 13+3(3x+8)=x-3

$13 + 3 (3 x + 8) = x - 3$

Simplify $13 + 3 (3 x + 8)$ .

Simplify each term.

Apply the distributive property.

$13 + 3 (3 x) + 3 \cdot 8 = x - 3$

Multiply $3$ by $3$ .

$13 + 9 x + 3 \cdot 8 = x - 3$

Multiply $3$ by $8$ .

$13 + 9 x + 24 = x - 3$

Add $13$ and $24$ .

$9 x + 37 = x - 3$

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

Subtract $x$ from both sides of the equation.

$9 x + 37 - x = - 3$

Subtract $x$ from $9 x$ .

$8 x + 37 = - 3$

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

Subtract $37$ from both sides of the equation.

$8 x = - 3 - 37$

Subtract $37$ from $- 3$ .

$8 x = - 40$

Divide each term in $8 x = - 40$ by $8$ and simplify.

Divide each term in $8 x = - 40$ by $8$ .

$\frac{8 x}{8} = \frac{- 40}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 40}{8}$

Divide $x$ by $1$ .

$x = \frac{- 40}{8}$

Simplify the right side.

Divide $- 40$ by $8$ .

$x = - 5$