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

The answer to |2x+7|-3=3x is x=4

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|2x+7|-3=3x

∣ 2 x + 7 ∣ - 3 = 3 x

x = 4

Solution steps

∣ 2 x + 7 ∣ - 3 = 3 x

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 4

x = 4

3 ∣ x + 1 ∣ - 2 = - 11

∣ x - 9 ∣ = 4

∣ 5 x ∣ = 35

x^{2} - 2 x - 4 = - 2 x

∣ x - 2 ∣ = 14