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

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

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|x-3|=4-x

∣ x - 3 ∣ = 4 - x

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

∣ x - 3 ∣ = 4 - x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = \frac{7}{2}

x = \frac{7}{2}

(3 x - 2) 2 - 5 ∣ 3 x - 2 ∣ - 6 = 0

∣ x - 4 ∣ - ∣ x ∣ = 4

∣ 3 x + 1 ∣ = ∣ x - 3 ∣

- 2 ∣ 5 - 4 x ∣ + 5 = - 1

∣ 4 x + 3 ∣ = 0