What is the answer to 2|7k+3|-4=4 ?

The answer to 2|7k+3|-4=4 is k=-1\lor k= 1/7

Solve for k: 2|7k+3|-4=4

The solution is k=-1\lor k= 1/7

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2 ∣ 7 k + 3 ∣ - 4 = 4

k = - 1 or k = \frac{1}{7}

Decimal Notation

k = - 1, k = 0.14285 \dots

Solution steps

2 ∣ 7 k + 3 ∣ - 4 = 4

Move

4

to the right side

2 ∣ 7 k + 3 ∣ = 8

Divide both sides by

2

∣ 7 k + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 k + 3 = - 4 or 7 k + 3 = 4

7 k + 3 = - 4 or 7 k + 3 = 4

k = - 1 or k = \frac{1}{7}

∣ 3 x - 4 ∣ = 2 x - 11

∣ 12 x + 18 ∣ = 12

72 = 3 ∣ z ∣

- 3 ∣ x ∣ - 5 = - 17

∣ x ∣ \cdot (x + 3) = - 2

What is the answer to 2|7k+3|-4=4 ?
The answer to 2|7k+3|-4=4 is k=-1\lor k= 1/7
Solve for k: 2|7k+3|-4=4
The solution is k=-1\lor k= 1/7