Basic Math Examples

$3 (4 a - 2 a) = 8$

Step 1

Simplify.

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Step 1.1

Subtract $2 a$ from $4 a$ .

$3 (2 a) = 8$

Step 1.2

Multiply $2$ by $3$ .

$6 a = 8$

$6 a = 8$

Step 2

Divide each term in $6 a = 8$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 a = 8$ by $6$ .

$\frac{6 a}{6} = \frac{8}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 a}{6} = \frac{8}{6}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{8}{6}$

$a = \frac{8}{6}$

$a = \frac{8}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $8$ and $6$ .

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Step 2.3.1.1

Factor $2$ out of $8$ .

$a = \frac{2 (4)}{6}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $6$ .

$a = \frac{2 \cdot 4}{2 \cdot 3}$

Step 2.3.1.2.2

Cancel the common factor.

$a = \frac{2 \cdot 4}{2 \cdot 3}$

Step 2.3.1.2.3

Rewrite the expression.

$a = \frac{4}{3}$

$a = \frac{4}{3}$

$a = \frac{4}{3}$

$a = \frac{4}{3}$

$a = \frac{4}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{4}{3}$

Decimal Form:

$a = 1.\overline{3}$

Mixed Number Form:

$a = 1 \frac{1}{3}$

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