What is the answer to 3x-2+|x|=11 ?

The answer to 3x-2+|x|=11 is x= 13/4

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3x-2+|x|=11

3 x - 2 + ∣ x ∣ = 11

x = \frac{13}{4}

Decimal Notation

x = 3.25

Solution steps

3 x - 2 + ∣ x ∣ = 11

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = \frac{13}{4}

x = \frac{13}{4}

∣ v + 57 ∣ = 0

\frac{3}{4} ∣ x ∣ = 9

∣ 2 x - 5 ∣ + 3 x = 4 x + 2

\frac{1}{2} ∣ 3 x - 9 ∣ = 5

∣ x + 7 ∣ = 8