Pre-Algebra Examples

$32 \div x = 80$

Step 1

Multiply both sides by $x$ .

$32 \div x x = 80 x$

Step 2

Simplify the left side.

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Step 2.1

Simplify $32 \div x x$ .

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Step 2.1.1

Rewrite the division as a fraction.

$\frac{32}{x} x = 80 x$

Step 2.1.2

Cancel the common factor of $x$ .

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Step 2.1.2.1

Cancel the common factor.

$\frac{32}{x} x = 80 x$

Step 2.1.2.2

Rewrite the expression.

$32 = 80 x$

$32 = 80 x$

$32 = 80 x$

$32 = 80 x$

Step 3

Solve for $x$ .

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Step 3.1

Rewrite the equation as $80 x = 32$ .

$80 x = 32$

Step 3.2

Divide each term in $80 x = 32$ by $80$ and simplify.

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Step 3.2.1

Divide each term in $80 x = 32$ by $80$ .

$\frac{80 x}{80} = \frac{32}{80}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $80$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{80 x}{80} = \frac{32}{80}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{32}{80}$

$x = \frac{32}{80}$

$x = \frac{32}{80}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Cancel the common factor of $32$ and $80$ .

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Step 3.2.3.1.1

Factor $16$ out of $32$ .

$x = \frac{16 (2)}{80}$

Step 3.2.3.1.2

Cancel the common factors.

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Step 3.2.3.1.2.1

Factor $16$ out of $80$ .

$x = \frac{16 \cdot 2}{16 \cdot 5}$

Step 3.2.3.1.2.2

Cancel the common factor.

$x = \frac{16 \cdot 2}{16 \cdot 5}$

Step 3.2.3.1.2.3

Rewrite the expression.

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

$x = \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{5}$

Decimal Form:

$x = 0.4$

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