What is the answer to |2x-1|+|2x+3|=6 ?

The answer to |2x-1|+|2x+3|=6 is x=-2\lor x=1

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|2x-1|+|2x+3|=6

∣ 2 x - 1 ∣ + ∣ 2 x + 3 ∣ = 6

x = - 2 or x = 1

Solution steps

∣ 2 x - 1 ∣ + ∣ 2 x + 3 ∣ = 6

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 2 or No Solution or x = 1

x = - 2 or x = 1

∣ 3 x - 8 ∣ + ∣ 3 x + 1 ∣ + ∣ 3 x + 5 ∣ = 21

∣ x - 4 ∣ - ∣ x - 2 ∣ = 3

∣ 2 - x ∣ = - 1

∣ x - 3 ∣ - ∣ x + 1 ∣ - ∣ x - 1 ∣ = - 2

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

What is the answer to |2x-1|+|2x+3|=6 ?
The answer to |2x-1|+|2x+3|=6 is x=-2\lor x=1
Solve for x: |2x-1|+|2x+3|=6
The solution is x=-2\lor x=1