Algebra Examples

9 x - 1 = - 11

$9 x - 1 = - 11$

Step 1

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 1.1

Add

1

$1$ to both sides of the equation.

9 x = - 11 + 1

$9 x = - 11 + 1$

Step 1.2

Add

- 11

$- 11$ and

1

$1$ .

9 x = - 10

$9 x = - 10$

9 x = - 10

$9 x = - 10$

Step 2

Divide each term in

9 x = - 10

$9 x = - 10$ by

9

$9$ and simplify.

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Step 2.1

Divide each term in

9 x = - 10

$9 x = - 10$ by

9

$9$ .

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

9

$9$ .

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Step 2.2.1.1

Cancel the common factor.

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

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

Step 2.2.1.2

Divide

x

$x$ by

1

$1$ .

x = \frac{- 10}{9}

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

x = \frac{- 10}{9}

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

x = \frac{- 10}{9}

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

x = - \frac{10}{9}

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

x = - \frac{10}{9}

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

x = - \frac{10}{9}

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

Step 3

The result can be shown in multiple forms.

Exact Form:

x = - \frac{10}{9}

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

Decimal Form:

x = - 1.\overline{1}

$x = - 1.\overline{1}$

Mixed Number Form:

x = - 1 \frac{1}{9}

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

9 x - 1 = - 11

$9 x - 1 = - 11$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$