Pre-Algebra Examples

$10 x + 25 = - 30$

Step 1

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

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Step 1.1

Subtract $25$ from both sides of the equation.

$10 x = - 30 - 25$

Step 1.2

Subtract $25$ from $- 30$ .

$10 x = - 55$

Step 2

Divide each term in $10 x = - 55$ by $10$ and simplify.

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Step 2.1

Divide each term in $10 x = - 55$ by $10$ .

$\frac{10 x}{10} = \frac{- 55}{10}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $10$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{10 x}{10} = \frac{- 55}{10}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 55}{10}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $- 55$ and $10$ .

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Step 2.3.1.1

Factor $5$ out of $- 55$ .

$x = \frac{5 (- 11)}{10}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $5$ out of $10$ .

$x = \frac{5 \cdot - 11}{5 \cdot 2}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{5 \cdot - 11}{5 \cdot 2}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{- 11}{2}$

Step 2.3.2

Move the negative in front of the fraction.

$x = - \frac{11}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{2}$

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$