What is the answer to |3x+2|-|x-1|=2x+3 ?

The answer to |3x+2|-|x-1|=2x+3 is x=-3/2 \lor x>= 1

Solve for x: |3x+2|-|x-1|=2x+3

The solution is x=-3/2 \lor x>= 1

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∣ 3 x + 2 ∣ - ∣ x - 1 ∣ = 2 x + 3

x = - \frac{3}{2} or x \geq 1

Solution steps

∣ 3 x + 2 ∣ - ∣ x - 1 ∣ = 2 x + 3

Find positive and negative intervals

x < - \frac{2}{3}, - \frac{2}{3} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution or x \geq 1

Merge Overlapping Intervals

x = - \frac{3}{2} or x \geq 1

x, 2 ∣ 3 x + 1 ∣ - 4 = 6

0.5 = ∣ x - 98.6 ∣

∣ m - 2 ∣ = 28

- 1 + ∣ n ∣ = 7

∣ x + 2 ∣ = 5 x - 3

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