Solve for x 10/3=x/(-5/2)

$\frac{10}{3} = \frac{x}{(- \frac{5}{2})}$

Rewrite the equation as $\frac{x}{- \frac{5}{2}} = \frac{10}{3}$ .

$\frac{x}{- \frac{5}{2}} = \frac{10}{3}$

Multiply both sides of the equation by $- \frac{5}{2}$ .

$- \frac{5}{2} \cdot \frac{x}{- \frac{5}{2}} = - \frac{5}{2} \cdot \frac{10}{3}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{2} \cdot \frac{x}{- \frac{5}{2}}$ .

Multiply the numerator by the reciprocal of the denominator.

$- \frac{5}{2} (x (- \frac{2}{5})) = - \frac{5}{2} \cdot \frac{10}{3}$

Combine $x$ and $\frac{2}{5}$ .

$- \frac{5}{2} (- \frac{x \cdot 2}{5}) = - \frac{5}{2} \cdot \frac{10}{3}$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} (- \frac{x \cdot 2}{5}) = - \frac{5}{2} \cdot \frac{10}{3}$

Move the leading negative in $- \frac{x \cdot 2}{5}$ into the numerator.

$\frac{- 5}{2} \cdot \frac{- x \cdot 2}{5} = - \frac{5}{2} \cdot \frac{10}{3}$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{2} \cdot \frac{- x \cdot 2}{5} = - \frac{5}{2} \cdot \frac{10}{3}$

Cancel the common factor.

$\frac{5 \cdot - 1}{2} \cdot \frac{- x \cdot 2}{5} = - \frac{5}{2} \cdot \frac{10}{3}$

Rewrite the expression.

$\frac{- 1}{2} (- x \cdot 2) = - \frac{5}{2} \cdot \frac{10}{3}$

Cancel the common factor of $2$ .

Factor $2$ out of $- x \cdot 2$ .

$\frac{- 1}{2} (2 \cdot (- x)) = - \frac{5}{2} \cdot \frac{10}{3}$

Cancel the common factor.

$\frac{- 1}{2} (2 \cdot (- x)) = - \frac{5}{2} \cdot \frac{10}{3}$

Rewrite the expression.

$- - x = - \frac{5}{2} \cdot \frac{10}{3}$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{5}{2} \cdot \frac{10}{3}$

Multiply $x$ by $1$ .

$x = - \frac{5}{2} \cdot \frac{10}{3}$

Simplify the right side.

Simplify $- \frac{5}{2} \cdot \frac{10}{3}$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$x = \frac{- 5}{2} \cdot \frac{10}{3}$

Factor $2$ out of $10$ .

$x = \frac{- 5}{2} \cdot \frac{2 (5)}{3}$

Cancel the common factor.

$x = \frac{- 5}{2} \cdot \frac{2 \cdot 5}{3}$

Rewrite the expression.

$x = - 5 (\frac{5}{3})$

Combine $- 5$ and $\frac{5}{3}$ .

$x = \frac{- 5 \cdot 5}{3}$

Simplify the expression.

Multiply $- 5$ by $5$ .

$x = \frac{- 25}{3}$

Move the negative in front of the fraction.

$x = - \frac{25}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{25}{3}$

Decimal Form:

$x = - 8.\overline{3}$

Mixed Number Form:

$x = - 8 \frac{1}{3}$

Solve for x 10/3=x/(-5/2)

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