Solve for x (2x)/9=-65

$\frac{2 x}{9} = - 65$

Step 1

Multiply both sides of the equation by $\frac{9}{2}$ .

$\frac{9}{2} \cdot \frac{2 x}{9} = \frac{9}{2} \cdot - 65$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{2} \cdot \frac{2 x}{9}$ .

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{2} \cdot \frac{2 x}{9} = \frac{9}{2} \cdot - 65$

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{9}{2} \cdot - 65$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{9}{2} \cdot - 65$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{9}{2} \cdot - 65$

Rewrite the expression.

$x = \frac{9}{2} \cdot - 65$

Simplify the right side.

Simplify $\frac{9}{2} \cdot - 65$ .

Multiply $\frac{9}{2} \cdot - 65$ .

Combine $\frac{9}{2}$ and $- 65$ .

$x = \frac{9 \cdot - 65}{2}$

Multiply $9$ by $- 65$ .

$x = \frac{- 585}{2}$

Move the negative in front of the fraction.

$x = - \frac{585}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{585}{2}$

Decimal Form:

$x = - 292.5$

Mixed Number Form:

$x = - 292 \frac{1}{2}$