Solve for d 5=|d-4|

$5 = | d - 4 |$

Rewrite the equation as $| d - 4 | = 5$ .

$| d - 4 | = 5$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$d - 4 = \pm 5$

Set up the positive portion of the $\pm$ solution.

$d - 4 = 5$

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

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Add $4$ to both sides of the equation.

$d = 5 + 4$

Add $5$ and $4$ .

$d = 9$

Set up the negative portion of the $\pm$ solution.

$d - 4 = - 5$

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

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Add $4$ to both sides of the equation.

$d = - 5 + 4$

Add $- 5$ and $4$ .

$d = - 1$

The solution to the equation includes both the positive and negative portions of the solution.

$d = 9, - 1$

Solve for d 5=|d-4|

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