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

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

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|x+3|=3x-2

∣ x + 3 ∣ = 3 x - 2

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

∣ x + 3 ∣ = 3 x - 2

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = \frac{5}{2}

x = \frac{5}{2}

∣ 4 x + 9 ∣ + 9 = 6

\frac{2}{3} x + 8 = 10

\frac{1}{2} x + 4 = 2

2 ∣ 2 x - 6 ∣ = 8

∣ 4 x + 7 ∣ - 2 = 26