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

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

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|2x-3|=4x+5

∣ 2 x - 3 ∣ = 4 x + 5

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ 2 x - 3 ∣ = 4 x + 5

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - \frac{1}{3} or No Solution

x = - \frac{1}{3}

4 x^{2} + 4 x - 3 = 0

∣ 2 x + 8 ∣ - 1 = x

e^{- 4 t}

\frac{40}{2}

\frac{1}{9 + 4 i}