What is the answer to |2x+7|-4x=9 ?

The answer to |2x+7|-4x=9 is x=-1

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|2x+7|-4x=9

∣ 2 x + 7 ∣ - 4 x = 9

x = - 1

Solution steps

∣ 2 x + 7 ∣ - 4 x = 9

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ - 4 x - 3 ∣ = 2

∣ p + 12 ∣ = 37

∣ 10 x ∣ + 10 = 20

∣ 6 - 3 x ∣ = 12

\frac{2 y - 6}{4} = 8