What is the answer to |2x+5|-3x=27 ?

The answer to |2x+5|-3x=27 is x=-32/5

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|2x+5|-3x=27

∣ 2 x + 5 ∣ - 3 x = 27

x = - \frac{32}{5}

Decimal Notation

x = - 6.4

Solution steps

∣ 2 x + 5 ∣ - 3 x = 27

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{32}{5} or No Solution

x = - \frac{32}{5}

4 ∣ 4 x - 3 ∣ - 8 = - 4

∣ 3 x + 1 ∣ = 1

y, x = ∣ y + 2 ∣

∣ 3 x - 2 ∣ = 4 - x

∣ 2 x ∣ = 3 x - 1