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

The answer to |2x-1|=2|3-x| is x= 7/4

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|2x-1|=2|3-x|

∣ 2 x - 1 ∣ = 2 ∣ 3 - x ∣

x = \frac{7}{4}

Decimal

x = 1.75

Solution steps

∣ 2 x - 1 ∣ = 2 ∣ 3 - x ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{7}{4}

x = \frac{7}{4}

4 x + \frac{1}{3} = 20

∣ z - 1 ∣ + ∣ 2 - z ∣ = 12

∣ 3 x + 5 ∣ = - 10

∣ 2 x + 3 ∣ = - 9

\frac{2}{5} ∣ 4 x - 3 ∣ - 9 = - 1