What is the answer to 2|g-5|+7=13 ?

The answer to 2|g-5|+7=13 is g=2\lor g=8

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2|g-5|+7=13

2 ∣ g - 5 ∣ + 7 = 13

g = 2 or g = 8

Solution steps

2 ∣ g - 5 ∣ + 7 = 13

Move

7

to the right side

2 ∣ g - 5 ∣ = 6

Divide both sides by

2

∣ g - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

g - 5 = - 3 or g - 5 = 3

g - 5 = - 3 or g - 5 = 3

g = 2 or g = 8

x^{2} - ∣ x ∣ = 0

5 ∣ 2 x - 1 ∣ = 5

- 4 ∣ - 2 x + 6 ∣ = - 24

- 3 = ∣ 2 - 5 m ∣ - 2

8 - 10 ∣ k ∣ = - 12