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

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

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2/5 |3x-4|=2x+4

\frac{2}{5} ∣ 3 x - 4 ∣ = 2 x + 4

x = - \frac{3}{4}

Decimal

x = - 0.75

Solution steps

\frac{2}{5} ∣ 3 x - 4 ∣ = 2 x + 4

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = - \frac{3}{4} or No Solution

x = - \frac{3}{4}

∣ x + 1 ∣ + 2 = - x - 4

∣ 6 x - 12 ∣ = - 2 x^{2} + 8 x + 252

3 ∣ x ∣ + 7 = 28

x, 2 - 5 ∣ 4 x - 10 ∣ = - 43

∣ 4 - 3 x ∣ = + 3 x + 6