Algebra Examples

$9 (\frac{2}{3} s - 1) = - 2 s$

Step 1

Simplify $9 (\frac{2}{3} s - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 9 (\frac{2}{3} s - 1) = - 2 s$

Step 1.2

Simplify by adding zeros.

$9 (\frac{2}{3} s - 1) = - 2 s$

Step 1.3

Combine $\frac{2}{3}$ and $s$ .

$9 (\frac{2 s}{3} - 1) = - 2 s$

Step 1.4

Apply the distributive property.

$9 \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Step 1.5

Cancel the common factor of $3$ .

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Step 1.5.1

Factor $3$ out of $9$ .

$3 (3) \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Step 1.5.2

Cancel the common factor.

$3 \cdot 3 \frac{2 s}{3} + 9 \cdot - 1 = - 2 s$

Step 1.5.3

Rewrite the expression.

$3 (2 s) + 9 \cdot - 1 = - 2 s$

$3 (2 s) + 9 \cdot - 1 = - 2 s$

Step 1.6

Multiply.

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Step 1.6.1

Multiply $2$ by $3$ .

$6 s + 9 \cdot - 1 = - 2 s$

Step 1.6.2

Multiply $9$ by $- 1$ .

$6 s - 9 = - 2 s$

$6 s - 9 = - 2 s$

$6 s - 9 = - 2 s$

Step 2

Move all terms containing $s$ to the left side of the equation.

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Step 2.1

Add $2 s$ to both sides of the equation.

$6 s - 9 + 2 s = 0$

Step 2.2

Add $6 s$ and $2 s$ .

$8 s - 9 = 0$

$8 s - 9 = 0$

Step 3

Add $9$ to both sides of the equation.

$8 s = 9$

Step 4

Divide each term in $8 s = 9$ by $8$ and simplify.

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Step 4.1

Divide each term in $8 s = 9$ by $8$ .

$\frac{8 s}{8} = \frac{9}{8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{8 s}{8} = \frac{9}{8}$

Step 4.2.1.2

Divide $s$ by $1$ .

$s = \frac{9}{8}$

$s = \frac{9}{8}$

$s = \frac{9}{8}$

$s = \frac{9}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$s = \frac{9}{8}$

Decimal Form:

$s = 1.125$

Mixed Number Form:

$s = 1 \frac{1}{8}$

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