What is the answer to |7x+7|+5=47 ?

The answer to |7x+7|+5=47 is x=-7\lor x=5

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|7x+7|+5=47

∣ 7 x + 7 ∣ + 5 = 47

x = - 7 or x = 5

Solution steps

∣ 7 x + 7 ∣ + 5 = 47

Move

5

to the right side

∣ 7 x + 7 ∣ = 42

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 7 = - 42 or 7 x + 7 = 42

7 x + 7 = - 42 or 7 x + 7 = 42

x = - 7 or x = 5

∣ y - 12 ∣ = 21

∣ x + 3 ∣ = \frac{1}{2}

∣ 12 - x ∣ = 8 x

- 3 + ∣ v - 5 ∣ = - 1

∣ u ∣ + 8 = 13