What is the answer to |3x-5|-|1-x|=0 ?

The answer to |3x-5|-|1-x|=0 is x= 3/2 \lor x=2

Solve for x: |3x-5|-|1-x|=0

The solution is x= 3/2 \lor x=2

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∣ 3 x - 5 ∣ - ∣ 1 - x ∣ = 0

x = \frac{3}{2} or x = 2

Decimal Notation

x = 1.5, x = 2

Solution steps

∣ 3 x - 5 ∣ - ∣ 1 - x ∣ = 0

Find positive and negative intervals

x \leq 1, 1 < x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

No Solution or x = \frac{3}{2} or x = 2

x = \frac{3}{2} or x = 2

∣ x + 2 ∣ + ∣ x + 3 ∣ = x

∣ x - 2 ∣ + ∣ 2 x - 3 ∣ + ∣ 3 x - 8 ∣ = 18

∣ x ∣ + 4 = 10

∣ 2 x - 6 ∣ + ∣ x - y + 3 ∣ = 0

x^{2} - 3 x + 2 = 0

What is the answer to |3x-5|-|1-x|=0 ?
The answer to |3x-5|-|1-x|=0 is x= 3/2 \lor x=2
Solve for x: |3x-5|-|1-x|=0
The solution is x= 3/2 \lor x=2