What is the answer to 3|2x-5|+4=9x+16 ?

The answer to 3|2x-5|+4=9x+16 is x= 1/5

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3|2x-5|+4=9x+16

3 ∣ 2 x - 5 ∣ + 4 = 9 x + 16

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

3 ∣ 2 x - 5 ∣ + 4 = 9 x + 16

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{1}{5} or No Solution

x = \frac{1}{5}

3 - x - 1 = ∣ x - 4 ∣

∣ 3 x + 11 ∣ = 1818

∣ 2 x - 3 ∣ + 8 = 4

∣ 4 x - 3 ∣ = - 1

∣ x - 3 ∣ - 5 = 0