Algebra Examples

2 k + 9 = 7 - 3 k

$2 k + 9 = 7 - 3 k$

Step 1

Move all terms containing

k

$k$ to the left side of the equation.

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Step 1.1

Add

3 k

$3 k$ to both sides of the equation.

2 k + 9 + 3 k = 7

$2 k + 9 + 3 k = 7$

Step 1.2

Add

2 k

$2 k$ and

3 k

$3 k$ .

5 k + 9 = 7

$5 k + 9 = 7$

5 k + 9 = 7

$5 k + 9 = 7$

Step 2

Move all terms not containing

k

$k$ to the right side of the equation.

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Step 2.1

Subtract

9

$9$ from both sides of the equation.

5 k = 7 - 9

$5 k = 7 - 9$

Step 2.2

Subtract

9

$9$ from

7

$7$ .

5 k = - 2

$5 k = - 2$

5 k = - 2

$5 k = - 2$

Step 3

Divide each term in

5 k = - 2

$5 k = - 2$ by

5

$5$ and simplify.

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Step 3.1

Divide each term in

5 k = - 2

$5 k = - 2$ by

5

$5$ .

\frac{5 k}{5} = \frac{- 2}{5}

$\frac{5 k}{5} = \frac{- 2}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

5

$5$ .

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Step 3.2.1.1

Cancel the common factor.

\frac{5 k}{5} = \frac{- 2}{5}

$\frac{5 k}{5} = \frac{- 2}{5}$

Step 3.2.1.2

Divide

k

$k$ by

1

$1$ .

k = \frac{- 2}{5}

$k = \frac{- 2}{5}$

k = \frac{- 2}{5}

$k = \frac{- 2}{5}$

k = \frac{- 2}{5}

$k = \frac{- 2}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

k = - \frac{2}{5}

$k = - \frac{2}{5}$

k = - \frac{2}{5}

$k = - \frac{2}{5}$

k = - \frac{2}{5}

$k = - \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

k = - \frac{2}{5}

$k = - \frac{2}{5}$

Decimal Form:

k = - 0.4

$k = - 0.4$

2 k + 9 = 7 - 3 k

$2 k + 9 = 7 - 3 k$

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

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