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

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

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

\frac{2}{5} ∣ 3 d - 4 ∣ = 2 d + 4

d = - \frac{3}{4}

Decimal

d = - 0.75

Solution steps

\frac{2}{5} ∣ 3 d - 4 ∣ = 2 d + 4

Find positive and negative intervals

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

Solve the inequality for each interval

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

d = - \frac{3}{4}

∣ x - 2 ∣ + 9 = 13

∣ 4 x - 5 ∣ = 2 x + 1

∣ 3 x - 4 ∣ = 2.5 3 - x

2 ∣ 3 x - 6 ∣ = 6

∣ x + 8 ∣ = ∣ 2 x + 1 ∣