Solve for a 6-4a=a-11

$6 - 4 a = a - 11$

Step 1

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

Subtract $a$ from both sides of the equation.

$6 - 4 a - a = - 11$

Subtract $a$ from $- 4 a$ .

$6 - 5 a = - 11$

Step 2

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

Subtract $6$ from both sides of the equation.

$- 5 a = - 11 - 6$

Subtract $6$ from $- 11$ .

$- 5 a = - 17$

Step 3

Divide each term in $- 5 a = - 17$ by $- 5$ and simplify.

Divide each term in $- 5 a = - 17$ by $- 5$ .

$\frac{- 5 a}{- 5} = \frac{- 17}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 a}{- 5} = \frac{- 17}{- 5}$

Divide $a$ by $1$ .

$a = \frac{- 17}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$a = \frac{17}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \frac{17}{5}$

Decimal Form:

$a = 3.4$

Mixed Number Form:

$a = 3 \frac{2}{5}$