Algebra Examples

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

Step 1

Multiply both sides of the equation by $\frac{2 - 5}{10}$ .

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

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

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

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Step 2.1.1.1

Cancel the common factor of $2 - 5$ .

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Step 2.1.1.1.1

Cancel the common factor.

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

Step 2.1.1.1.2

Rewrite the expression.

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

Step 2.1.1.2

Cancel the common factor of $10$ .

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Step 2.1.1.2.1

Factor $10$ out of $10 x$ .

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

Step 2.1.1.2.2

Cancel the common factor.

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

Step 2.1.1.2.3

Rewrite the expression.

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

Step 2.2

Simplify the right side.

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Step 2.2.1

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

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Step 2.2.1.1

Subtract $5$ from $2$ .

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

Step 2.2.1.2

Move the negative in front of the fraction.

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

Step 2.2.1.3

Multiply $- \frac{3}{10} \cdot 3$ .

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Step 2.2.1.3.1

Multiply $3$ by $- 1$ .

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

Step 2.2.1.3.2

Combine $- 3$ and $\frac{3}{10}$ .

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

Step 2.2.1.3.3

Multiply $- 3$ by $3$ .

$x = \frac{- 9}{10}$

Step 2.2.1.4

Move the negative in front of the fraction.

$x = - \frac{9}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{10}$

Decimal Form:

$x = - 0.9$