What is the answer to 3|w-7|+14=62 ?

The answer to 3|w-7|+14=62 is w=-9\lor w=23

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3|w-7|+14=62

3 ∣ w - 7 ∣ + 14 = 62

w = - 9 or w = 23

Solution steps

3 ∣ w - 7 ∣ + 14 = 62

Move

14

to the right side

3 ∣ w - 7 ∣ = 48

Divide both sides by

3

∣ w - 7 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

w - 7 = - 16 or w - 7 = 16

w - 7 = - 16 or w - 7 = 16

w = - 9 or w = 23

∣ 2 x - 5 ∣ = x - 3

∣ 7 x + 2 ∣ = 8

∣ x - 12 ∣ = 5 x + 24

1 - ∣ x ∣ = 5

6 - 3 ∣ - 4 x - 4 ∣ = 33

What is the answer to 3|w-7|+14=62 ?
The answer to 3|w-7|+14=62 is w=-9\lor w=23
Solve for w: 3|w-7|+14=62
The solution is w=-9\lor w=23