What is the answer to |2x+3|+3=8x-12 ?

The answer to |2x+3|+3=8x-12 is x=3

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|2x+3|+3=8x-12

∣ 2 x + 3 ∣ + 3 = 8 x - 12

x = 3

Solution steps

∣ 2 x + 3 ∣ + 3 = 8 x - 12

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ - 5 x + 9 ∣ = 11

- 2 ∣ - 5 m - 4 ∣ - 2 = - 14

5 + ∣ 6 - 3 x ∣ = 3 x + 3

∣ (m - 3) x + 5 ∣ = m + 5

2 - 5 ∣ 4 x - 10 ∣ = 43