What is the answer to |2x+7|=4-3x ?

The answer to |2x+7|=4-3x is x=-3/5

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|2x+7|=4-3x

∣ 2 x + 7 ∣ = 4 - 3 x

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

∣ 2 x + 7 ∣ = 4 - 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 = - \frac{3}{5}

x = - \frac{3}{5}

- 4 ∣ 2 x - 3 ∣ = 20

∣ 6 - 3 y ∣ = 11

3 ∣ 2 a + 7 ∣ = 3 a + 12

∣ p - 7 ∣ = - 14

∣ x ∣ - 8 = - 11