Solve for a 3(a-6)=-5a-(7+3a)

$3 (a - 6) = - 5 a - (7 + 3 a)$

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

$- 5 a - (7 + 3 a) = 3 (a - 6)$

Simplify $- 5 a - (7 + 3 a)$ .

Simplify each term.

Apply the distributive property.

$- 5 a - 1 \cdot 7 - (3 a) = 3 (a - 6)$

Multiply $- 1$ by $7$ .

$- 5 a - 7 - (3 a) = 3 (a - 6)$

Multiply $3$ by $- 1$ .

$- 5 a - 7 - 3 a = 3 (a - 6)$

Subtract $3 a$ from $- 5 a$ .

$- 8 a - 7 = 3 (a - 6)$

Simplify $3 (a - 6)$ .

Apply the distributive property.

$- 8 a - 7 = 3 a + 3 \cdot - 6$

Multiply $3$ by $- 6$ .

$- 8 a - 7 = 3 a - 18$

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

Subtract $3 a$ from both sides of the equation.

$- 8 a - 7 - 3 a = - 18$

Subtract $3 a$ from $- 8 a$ .

$- 11 a - 7 = - 18$

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

Add $7$ to both sides of the equation.

$- 11 a = - 18 + 7$

Add $- 18$ and $7$ .

$- 11 a = - 11$

Divide each term in $- 11 a = - 11$ by $- 11$ and simplify.

Divide each term in $- 11 a = - 11$ by $- 11$ .

$\frac{- 11 a}{- 11} = \frac{- 11}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 a}{- 11} = \frac{- 11}{- 11}$

Divide $a$ by $1$ .

$a = \frac{- 11}{- 11}$

Simplify the right side.

Divide $- 11$ by $- 11$ .

$a = 1$