What is the answer to |2x-3|+|x+2|=4 ?

The answer to |2x-3|+|x+2|=4 is x=1\lor x= 5/3

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|2x-3|+|x+2|=4

∣ 2 x - 3 ∣ + ∣ x + 2 ∣ = 4

x = 1 or x = \frac{5}{3}

Decimal Notation

x = 1, x = 1.66666 \dots

Solution steps

∣ 2 x - 3 ∣ + ∣ x + 2 ∣ = 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 1 or x = \frac{5}{3}

x = 1 or x = \frac{5}{3}

2022 - ∣ x - 2022 ∣ = x

∣ x + 4 ∣ = 3 x - 2

x^{2} - 8 x + 7 = 2 x - 9

∣ x - 1 ∣ + ∣ x - 3 ∣ = 4

7 ∣ x ∣ - 3 = 0

What is the answer to |2x-3|+|x+2|=4 ?
The answer to |2x-3|+|x+2|=4 is x=1\lor x= 5/3
Solve for x: |2x-3|+|x+2|=4
The solution is x=1\lor x= 5/3