What is the answer to |x-3|=|2x-8| ?

The answer to |x-3|=|2x-8| is x= 11/3 \lor x=5

Solve for x: |x-3|=|2x-8|

The solution is x= 11/3 \lor x=5

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∣ x - 3 ∣ = ∣ 2 x - 8 ∣

x = \frac{11}{3} or x = 5

Decimal Notation

x = 3.66666 \dots, x = 5

Solution steps

∣ x - 3 ∣ = ∣ 2 x - 8 ∣

Find positive and negative intervals

x < 3, 3 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = \frac{11}{3} or x = 5

x = \frac{11}{3} or x = 5

x^{2} - 9 = ∣ 2 x - 5 ∣ - 4

∣ x + 4 ∣^{2} + 5 = 20

∣ 1 - 2 x ∣ = 2 x - 1

∣ 3 x - 1 ∣ + ∣ 2 x - 3 ∣ - 4 = 0

∣ x + 1 ∣ = 10

What is the answer to |x-3|=|2x-8| ?
The answer to |x-3|=|2x-8| is x= 11/3 \lor x=5
Solve for x: |x-3|=|2x-8|
The solution is x= 11/3 \lor x=5