Algebra Examples

$\frac{5}{2} = \frac{d - 2}{4}$

Step 1

Rewrite the equation as $\frac{d - 2}{4} = \frac{5}{2}$ .

$\frac{d - 2}{4} = \frac{5}{2}$

Step 2

Multiply both sides of the equation by $4$ .

$4 \frac{d - 2}{4} = 4 (\frac{5}{2})$

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

Cancel the common factor of $4$ .

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Step 3.1.1.1

Cancel the common factor.

$4 \frac{d - 2}{4} = 4 (\frac{5}{2})$

Step 3.1.1.2

Rewrite the expression.

$d - 2 = 4 (\frac{5}{2})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $4 (\frac{5}{2})$ .

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Factor $2$ out of $4$ .

$d - 2 = 2 (2) \frac{5}{2}$

Step 3.2.1.1.2

Cancel the common factor.

$d - 2 = 2 \cdot 2 \frac{5}{2}$

Step 3.2.1.1.3

Rewrite the expression.

$d - 2 = 2 \cdot 5$

Step 3.2.1.2

Multiply $2$ by $5$ .

$d - 2 = 10$

Step 4

Move all terms not containing $d$ to the right side of the equation.

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Step 4.1

Add $2$ to both sides of the equation.

$d = 10 + 2$

Step 4.2

Add $10$ and $2$ .

$d = 12$