What is the answer to |k-3|=2k+6 ?

The answer to |k-3|=2k+6 is k=-1

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|k-3|=2k+6

∣ k - 3 ∣ = 2 k + 6

k = - 1

Solution steps

∣ k - 3 ∣ = 2 k + 6

Find positive and negative intervals

k < 3, k \geq 3

Solve the inequality for each interval

k = - 1 or No Solution

k = - 1

∣ 3 x - 2 ∣ = ∣ x - 4 ∣

∣ 2 x + 3 ∣ = x + 5

37 - 10 x = ∣ 7 - 35 ∣ - x^{2}

\frac{1}{4} x - 3 + 1 = 11

∣ 3 x - 12 ∣ = 6