Algebra Examples

9 (x - 9) = - 11

$9 (x - 9) = - 11$

Step 1

Divide each term in

9 (x - 9) = - 11

$9 (x - 9) = - 11$ by

9

$9$ and simplify.

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Step 1.1

Divide each term in

9 (x - 9) = - 11

$9 (x - 9) = - 11$ by

9

$9$ .

\frac{9 (x - 9)}{9} = \frac{- 11}{9}

$\frac{9 (x - 9)}{9} = \frac{- 11}{9}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of

9

$9$ .

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Step 1.2.1.1

Cancel the common factor.

\frac{9 (x - 9)}{9} = \frac{- 11}{9}

$\frac{9 (x - 9)}{9} = \frac{- 11}{9}$

Step 1.2.1.2

Divide

x - 9

$x - 9$ by

1

$1$ .

x - 9 = \frac{- 11}{9}

$x - 9 = \frac{- 11}{9}$

x - 9 = \frac{- 11}{9}

$x - 9 = \frac{- 11}{9}$

x - 9 = \frac{- 11}{9}

$x - 9 = \frac{- 11}{9}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Move the negative in front of the fraction.

x - 9 = - \frac{11}{9}

$x - 9 = - \frac{11}{9}$

x - 9 = - \frac{11}{9}

$x - 9 = - \frac{11}{9}$

x - 9 = - \frac{11}{9}

$x - 9 = - \frac{11}{9}$

Step 2

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 2.1

Add

9

$9$ to both sides of the equation.

x = - \frac{11}{9} + 9

$x = - \frac{11}{9} + 9$

Step 2.2

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

x = - \frac{11}{9} + 9 \cdot \frac{9}{9}

$x = - \frac{11}{9} + 9 \cdot \frac{9}{9}$

Step 2.3

Combine

9

$9$ and

\frac{9}{9}

$\frac{9}{9}$ .

x = - \frac{11}{9} + \frac{9 \cdot 9}{9}

$x = - \frac{11}{9} + \frac{9 \cdot 9}{9}$

Step 2.4

Combine the numerators over the common denominator.

x = \frac{- 11 + 9 \cdot 9}{9}

$x = \frac{- 11 + 9 \cdot 9}{9}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply

9

$9$ by

9

$9$ .

x = \frac{- 11 + 81}{9}

$x = \frac{- 11 + 81}{9}$

Step 2.5.2

Add

- 11

$- 11$ and

81

$81$ .

x = \frac{70}{9}

$x = \frac{70}{9}$

x = \frac{70}{9}

$x = \frac{70}{9}$

x = \frac{70}{9}

$x = \frac{70}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

x = \frac{70}{9}

$x = \frac{70}{9}$

Decimal Form:

x = 7.\overline{7}

$x = 7.\overline{7}$

Mixed Number Form:

x = 7 \frac{7}{9}

$x = 7 \frac{7}{9}$

9 (x - 9) = - 11

$9 (x - 9) = - 11$

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

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