What is the answer to |2z-5|=4z-3 ?

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

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|2z-5|=4z-3

∣ 2 z - 5 ∣ = 4 z - 3

z = \frac{4}{3}

Decimal Notation

z = 1.33333 \dots

Solution steps

∣ 2 z - 5 ∣ = 4 z - 3

Find positive and negative intervals

z < \frac{5}{2}, z \geq \frac{5}{2}

Solve the inequality for each interval

z = \frac{4}{3} or No Solution

z = \frac{4}{3}

∣ 4 x - 7 ∣ = 1

∣ 5 x - 1 ∣ = 14

15 = ∣ b - 14 ∣

\frac{b}{9} = 7

∣ 4 x - 3 ∣ = 7