Solve for a a-6=8-(9+a)

$a - 6 = 8 - (9 + a)$

Step 1

Simplify $8 - (9 + a)$ .

Simplify each term.

Apply the distributive property.

$a - 6 = 8 - 1 \cdot 9 - a$

Multiply $- 1$ by $9$ .

$a - 6 = 8 - 9 - a$

Subtract $9$ from $8$ .

$a - 6 = - 1 - a$

Step 2

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

Add $a$ to both sides of the equation.

$a - 6 + a = - 1$

Add $a$ and $a$ .

$2 a - 6 = - 1$

Step 3

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

Add $6$ to both sides of the equation.

$2 a = - 1 + 6$

Add $- 1$ and $6$ .

$2 a = 5$

Step 4

Divide each term in $2 a = 5$ by $2$ and simplify.

Divide each term in $2 a = 5$ by $2$ .

$\frac{2 a}{2} = \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} = \frac{5}{2}$

Divide $a$ by $1$ .

$a = \frac{5}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$a = \frac{5}{2}$

Decimal Form:

$a = 2.5$

Mixed Number Form:

$a = 2 \frac{1}{2}$