Solve for d 5/2=(d-2)/4

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

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

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

Multiply both sides of the equation by $4$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$d - 2 = 2 \cdot 5$

Multiply $2$ by $5$ .

$d - 2 = 10$

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

Add $2$ to both sides of the equation.

$d = 10 + 2$

Add $10$ and $2$ .

$d = 12$