What is the answer to |4x+7|-2=5x ?

The answer to |4x+7|-2=5x is x=5

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|4x+7|-2=5x

∣ 4 x + 7 ∣ - 2 = 5 x

x = 5

Solution steps

∣ 4 x + 7 ∣ - 2 = 5 x

Find positive and negative intervals

x < - \frac{7}{4}, x \geq - \frac{7}{4}

Solve the inequality for each interval

No Solution or x = 5

x = 5

∣ z ∣ - z = 1

∣ b + 5 ∣ = 2 b + 3

∣ 2 z - 5 ∣ = 4 z - 3

∣ 4 x - 7 ∣ = 1

∣ 5 x - 1 ∣ = 14