What is the answer to |2x-7|+8=3x ?

The answer to |2x-7|+8=3x is x=3

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|2x-7|+8=3x

∣ 2 x - 7 ∣ + 8 = 3 x

x = 3

Solution steps

∣ 2 x - 7 ∣ + 8 = 3 x

Find positive and negative intervals

x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

x = 3 or No Solution

x = 3

∣ 2 x - 2 ∣ + 3 = 5

9 = \frac{x}{11}

∣ 7 x + 7 ∣ = 77

40 = ∣ a + 14 ∣

24 = ∣ 4 a - 4 ∣