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

The answer to |2x-4|=|4-3x|-x is x=0\lor x>= 2

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

∣ 2 x - 4 ∣ = ∣ 4 - 3 x ∣ - x

x = 0 or x \geq 2

Solution steps

∣ 2 x - 4 ∣ = ∣ 4 - 3 x ∣ - x

Find positive and negative intervals

x \leq \frac{4}{3}, \frac{4}{3} < x < 2, x \geq 2

Solve the inequality for each interval

x = 0 or No Solution or x \geq 2

Merge Overlapping Intervals

x = 0 or x \geq 2

25 x^{2} = 64

(\frac{3}{2} x^{\frac{1}{2}})^{2}

- (12 t + 5) + 3 t > 0

4 x + \frac{x + 3}{6} = 13

\frac{- 7 - i}{- 8 + i}

What is the answer to |2x-4|=|4-3x|-x ?
The answer to |2x-4|=|4-3x|-x is x=0\lor x>= 2
Solve for x: |2x-4|=|4-3x|-x
The solution is x=0\lor x>= 2