What is the answer to |z-1|=7z-13 ?

The answer to |z-1|=7z-13 is z=2

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|z-1|=7z-13

∣ z - 1 ∣ = 7 z - 13

z = 2

Solution steps

∣ z - 1 ∣ = 7 z - 13

Find positive and negative intervals

z < 1, z \geq 1

Solve the inequality for each interval

No Solution or z = 2

z = 2

x^{2} + 4 x - 1 = 7

∣ 6 x + 3 ∣ = 15

∣ 3 k - 6 ∣ = 2

∣ 8 + a ∣ = 10

∣ 2 x + 5 ∣ = 7 x - 2