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

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

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|3-x|+x=4

∣ 3 - x ∣ + x = 4

x = \frac{7}{2}

Solution steps

∣ 3 - x ∣ + x = 4

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

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

x = \frac{7}{2}

∣ 3 x - 5 ∣ = x + 1

∣ k + 6 ∣ = 9

3 ∣ x - 6 ∣ = 16

∣ 3 - 5 x ∣ = 7

∣ 3 x - 11 ∣ = x + 3