Algebra Examples

$- \frac{9}{4} = - \frac{5}{4} x$

Step 1

Rewrite the equation as $- \frac{5}{4} x = - \frac{9}{4}$ .

$- \frac{5}{4} x = - \frac{9}{4}$

Step 2

Multiply both sides of the equation by $- \frac{4}{5}$ .

$- \frac{4}{5} (- \frac{5}{4} x) = - \frac{4}{5} (- \frac{9}{4})$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $- \frac{4}{5} (- \frac{5}{4} x)$ .

Tap for more steps...

Step 3.1.1.1

Combine $x$ and $\frac{5}{4}$ .

$- \frac{4}{5} (- \frac{x \cdot 5}{4}) = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.2

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1.1.2.1

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$\frac{- 4}{5} (- \frac{x \cdot 5}{4}) = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.2.2

Move the leading negative in $- \frac{x \cdot 5}{4}$ into the numerator.

$\frac{- 4}{5} \cdot \frac{- x \cdot 5}{4} = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.2.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{5} \cdot \frac{- x \cdot 5}{4} = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.2.4

Cancel the common factor.

$\frac{4 \cdot - 1}{5} \cdot \frac{- x \cdot 5}{4} = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.2.5

Rewrite the expression.

$\frac{- 1}{5} (- x \cdot 5) = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.3

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.1.3.1

Factor $5$ out of $- x \cdot 5$ .

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.3.3

Rewrite the expression.

$- - x = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.4

Multiply.

Tap for more steps...

Step 3.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{4}{5} (- \frac{9}{4})$

Step 3.1.1.4.2

Multiply $x$ by $1$ .

$x = - \frac{4}{5} (- \frac{9}{4})$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $- \frac{4}{5} (- \frac{9}{4})$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.2.1.1.1

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$x = \frac{- 4}{5} (- \frac{9}{4})$

Step 3.2.1.1.2

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$x = \frac{- 4}{5} \cdot \frac{- 9}{4}$

Step 3.2.1.1.3

Factor $4$ out of $- 4$ .

$x = \frac{4 (- 1)}{5} \cdot \frac{- 9}{4}$

Step 3.2.1.1.4

Cancel the common factor.

$x = \frac{4 \cdot - 1}{5} \cdot \frac{- 9}{4}$

Step 3.2.1.1.5

Rewrite the expression.

$x = \frac{- 1}{5} \cdot - 9$

Step 3.2.1.2

Combine $\frac{- 1}{5}$ and $- 9$ .

$x = \frac{- - 9}{5}$

Step 3.2.1.3

Multiply $- 1$ by $- 9$ .

$x = \frac{9}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{5}$

Decimal Form:

$x = 1.8$

Mixed Number Form:

$x = 1 \frac{4}{5}$