What is the answer to |x-1|+|2x-3|=5 ?

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

Solve for x: |x-1|+|2x-3|=5

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

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∣ x - 1 ∣ + ∣ 2 x - 3 ∣ = 5

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

Decimal

x = - 0.33333 \dots, x = 3

Solution steps

∣ x - 1 ∣ + ∣ 2 x - 3 ∣ = 5

Find positive and negative intervals

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

Solve the inequality for each interval

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

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

(x - 4)^{2} - 2 ∣ x - 4 ∣ - 15 = 0

4 ∣ x - 5 ∣ = - 24

5 ∣ x - 2 ∣ = 3 ∣ x - 2 ∣ - 7

∣ x + 3 ∣ = 4 x + 1

∣ 8 - 0.2 x ∣ = 12

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