What is the answer to |2x+7|=6x+13 ?

The answer to |2x+7|=6x+13 is x=-3/2

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|2x+7|=6x+13

∣ 2 x + 7 ∣ = 6 x + 13

x = - \frac{3}{2}

Solution steps

∣ 2 x + 7 ∣ = 6 x + 13

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}{2}

x = - \frac{3}{2}

∣ 7 x - 12 ∣ = 23

0 = ∣ 4 - x ∣

∣ - 2 a + 1 ∣ = 3

- 10 ∣ 2 v + 7 ∣ = 10

- 4 ∣ 3 x - 2 ∣ = 2