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

The answer to |2d+5|=3d+4 is d=1

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|2d+5|=3d+4

∣ 2 d + 5 ∣ = 3 d + 4

d = 1

Solution steps

∣ 2 d + 5 ∣ = 3 d + 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or d = 1

d = 1

∣ 4 x - 9 ∣ = 37

9 ∣ 4 p + 2 ∣ = 35

∣ - 3 X ∣ = 9

∣ q + 1 ∣ = 5

∣ 7 - x ∣ = 3