Algebra Examples

$x \frac{3}{2} = 64$

Step 1

Simplify $x (\frac{3}{2})$ .

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Step 1.1

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

$\frac{x \cdot 3}{2} = 64$

Step 1.2

Move $3$ to the left of $x$ .

$\frac{3 x}{2} = 64$

Step 2

Multiply both sides of the equation by $\frac{2}{3}$ .

$\frac{2}{3} \cdot \frac{3 x}{2} = \frac{2}{3} \cdot 64$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{2}{3} \cdot \frac{3 x}{2}$ .

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Step 3.1.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1.1

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 x}{2} = \frac{2}{3} \cdot 64$

Step 3.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{2}{3} \cdot 64$

Step 3.1.1.2

Cancel the common factor of $3$ .

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Step 3.1.1.2.1

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{2}{3} \cdot 64$

Step 3.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{2}{3} \cdot 64$

Step 3.1.1.2.3

Rewrite the expression.

$x = \frac{2}{3} \cdot 64$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $\frac{2}{3} \cdot 64$ .

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Step 3.2.1.1

Combine $\frac{2}{3}$ and $64$ .

$x = \frac{2 \cdot 64}{3}$

Step 3.2.1.2

Multiply $2$ by $64$ .

$x = \frac{128}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{128}{3}$

Decimal Form:

$x = 42.\overline{6}$

Mixed Number Form:

$x = 42 \frac{2}{3}$