What is the answer to |2z-3|=4z-2 ?

The answer to |2z-3|=4z-2 is z= 5/6

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|2z-3|=4z-2

∣ 2 z - 3 ∣ = 4 z - 2

z = \frac{5}{6}

Decimal Notation

z = 0.83333 \dots

Solution steps

∣ 2 z - 3 ∣ = 4 z - 2

Find positive and negative intervals

z < \frac{3}{2}, z \geq \frac{3}{2}

Solve the inequality for each interval

z = \frac{5}{6} or No Solution

z = \frac{5}{6}

2 ∣ 4 x + 6 ∣ - 52 = - 8

2 ∣ 3 x - 3 ∣ = 18

- 6 + ∣ x - 4 ∣ = - 6

- 3 ∣ x - 7 ∣ = - 51

∣ 8 - m ∣ + 4 = 21