What is the answer to |2x+1|=11-4x ?

The answer to |2x+1|=11-4x is x= 5/3

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|2x+1|=11-4x

∣ 2 x + 1 ∣ = 11 - 4 x

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

∣ 2 x + 1 ∣ = 11 - 4 x

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

No Solution or x = \frac{5}{3}

x = \frac{5}{3}

∣ x + 1 ∣ = - 5

∣ 7 x - 2 ∣ - 3 = - 11

x^{2} - 4 ∣ x ∣ + 2 x - 7 = 1

∣ 4 x - 5 ∣ = 2 x + 5

∣ 3 x - 5 ∣ = 8