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

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

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|x+1|=|3-x|

∣ x + 1 ∣ = ∣ 3 - x ∣

x = 1

Solution steps

∣ x + 1 ∣ = ∣ 3 - x ∣

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 - 6

∣ x + 4 ∣ = 3

25 w^{2} - 9

\frac{2}{7} x - 3 > - \frac{26}{7} x + 9

3 (1 - x) = 2 (x + 2)