Solve for x x-6(x+5)=15

$x - 6 (x + 5) = 15$

Step 1

Simplify $x - 6 (x + 5)$ .

Simplify each term.

Apply the distributive property.

$x - 6 x - 6 \cdot 5 = 15$

Multiply $- 6$ by $5$ .

$x - 6 x - 30 = 15$

Subtract $6 x$ from $x$ .

$- 5 x - 30 = 15$

Step 2

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

Add $30$ to both sides of the equation.

$- 5 x = 15 + 30$

Add $15$ and $30$ .

$- 5 x = 45$

Step 3

Divide each term in $- 5 x = 45$ by $- 5$ and simplify.

Divide each term in $- 5 x = 45$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{45}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{45}{- 5}$

Divide $x$ by $1$ .

$x = \frac{45}{- 5}$

Simplify the right side.

Divide $45$ by $- 5$ .

$x = - 9$