Solve for Q 6Q-11=21

$6 Q - 11 = 21$

Step 1

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

Add $11$ to both sides of the equation.

$6 Q = 21 + 11$

Add $21$ and $11$ .

$6 Q = 32$

Step 2

Divide each term in $6 Q = 32$ by $6$ and simplify.

Divide each term in $6 Q = 32$ by $6$ .

$\frac{6 Q}{6} = \frac{32}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 Q}{6} = \frac{32}{6}$

Divide $Q$ by $1$ .

$Q = \frac{32}{6}$

Simplify the right side.

Cancel the common factor of $32$ and $6$ .

Factor $2$ out of $32$ .

$Q = \frac{2 (16)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$Q = \frac{2 \cdot 16}{2 \cdot 3}$

Cancel the common factor.

$Q = \frac{2 \cdot 16}{2 \cdot 3}$

Rewrite the expression.

$Q = \frac{16}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$Q = \frac{16}{3}$

Decimal Form:

$Q = 5.\overline{3}$

Mixed Number Form:

$Q = 5 \frac{1}{3}$