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

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

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

∣ 5 - 3 x ∣ + 9 = 13 x + 8

x = \frac{3}{8}

Decimal Notation

x = 0.375

Solution steps

∣ 5 - 3 x ∣ + 9 = 13 x + 8

Find positive and negative intervals

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

Solve the inequality for each interval

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

x = \frac{3}{8}

x^{2} - 81 = 0

∣ 2 x - 4 ∣ = 4 x - 8

∣ x + 8 ∣ = 6

∣ 4 - 3 x ∣ = 8

- 4 ∣ x - 3 ∣ = - 12