What is the answer to |5-3z|+9=13z+8 ?

The answer to |5-3z|+9=13z+8 is z= 3/8

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|5-3z|+9=13z+8

∣ 5 - 3 z ∣ + 9 = 13 z + 8

z = \frac{3}{8}

Decimal Notation

z = 0.375

Solution steps

∣ 5 - 3 z ∣ + 9 = 13 z + 8

Find positive and negative intervals

z \leq \frac{5}{3}, z > \frac{5}{3}

Solve the inequality for each interval

z = \frac{3}{8} or No Solution

z = \frac{3}{8}

a, ∣ a - b ∣ = 0

\frac{s}{2} - 1 = 1

∣ x - 2 ∣ = - 5

\frac{∣ 4 x - 12 ∣}{2} = 8

∣ 4 - 3 x ∣ = 5 x + 4