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

The answer to |4x+2|+2=5x is x=4

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|4x+2|+2=5x

∣ 4 x + 2 ∣ + 2 = 5 x

x = 4

Solution steps

∣ 4 x + 2 ∣ + 2 = 5 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 = 4

x = 4

∣ 2 x + 5 ∣ = 4

- 5 ∣ 6 - 3 n ∣ = - 30

∣ 5 y - 8 ∣ = 12

4 ∣ x - 10 ∣ = 44

∣ 2 - 3 x ∣ = 8