What is the answer to |2x+12|-1=4x-1 ?

The answer to |2x+12|-1=4x-1 is x=6

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|2x+12|-1=4x-1

∣ 2 x + 12 ∣ - 1 = 4 x - 1

x = 6

Solution steps

∣ 2 x + 12 ∣ - 1 = 4 x - 1

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

No Solution or x = 6

x = 6

x^{2} + 2 x - 3 = 0

6 ∣ - 7 + 10 m ∣ = 138

∣ x ∣ + 11 = - 8

∣ 2 x - 9 ∣ = 0

6 - ∣ 4 - 4 x ∣ = 6