Algebra Examples

3 (q + \frac{4}{3}) = 2

$3 (q + \frac{4}{3}) = 2$

Step 1

Simplify

$3 (q + \frac{4}{3})$ .

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Step 1.1

Apply the distributive property.

$3 q + 3 (\frac{4}{3}) = 2$

Step 1.2

Cancel the common factor of

$3$ .

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Step 1.2.1

Cancel the common factor.

$3 q + 3 (\frac{4}{3}) = 2$

Step 1.2.2

Rewrite the expression.

$3 q + 4 = 2$

$3 q + 4 = 2$

$3 q + 4 = 2$

Step 2

Move all terms not containing

$q$ to the right side of the equation.

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Step 2.1

Subtract

$4$ from both sides of the equation.

$3 q = 2 - 4$

Step 2.2

Subtract

$4$ from

$2$ .

$3 q = - 2$

$3 q = - 2$

Step 3

Divide each term in

$3 q = - 2$ by

$3$ and simplify.

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Step 3.1

Divide each term in

$3 q = - 2$ by

$3$ .

$\frac{3 q}{3} = \frac{- 2}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 q}{3} = \frac{- 2}{3}$

Step 3.2.1.2

Divide

$q$ by

$1$ .

$q = \frac{- 2}{3}$

$q = \frac{- 2}{3}$

$q = \frac{- 2}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$q = - \frac{2}{3}$

$q = - \frac{2}{3}$

$q = - \frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$q = - \frac{2}{3}$

Decimal Form:

$q = - 0.\overline{6}$

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