How do you solve abs(4d + 7) = 5?

1 Answer
Miles A.
May 16, 2015

To solve for d we look at both ends of the absolute where it will equal either 5 or -5 so this is what we do.

abs(4d + 7) = 5

can be re written as

4d + 7 = 5 or 4d + 7 = -5

4d = -2 or 4d = -12

d = -1/2 or d = -3

keep in mind that the absolute sign means that what ever is inside the "Brackets" of the absolute, will always be positive, thus if the result inside is abs(-5) it will equal 5 ...

to rewrite abs(-5) = 5

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