What is the answer to 2|3-x|+3|x-1|=4 ?

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

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2|3-x|+3|x-1|=4

2 ∣ 3 - x ∣ + 3 ∣ x - 1 ∣ = 4

x = 1

Solution steps

2 ∣ 3 - x ∣ + 3 ∣ x - 1 ∣ = 4

Find positive and negative intervals

x < 1, 1 \leq x \leq 3, x > 3

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ x ∣ - 2 x + 5 = 0

[∣ x - 1 ∣] + [∣ 7 - x ∣] = 6

∣ x + 2 ∣ = ∣ x ∣

x^{2} - 6 x + 7 = \frac{( 5 x - 9 )}{3}

∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16