What is the answer to |x+3|=|6+x| ?

The answer to |x+3|=|6+x| is x=-9/2

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|x+3|=|6+x|

∣ x + 3 ∣ = ∣ 6 + x ∣

x = - \frac{9}{2}

Decimal

x = - 4.5

Solution steps

∣ x + 3 ∣ = ∣ 6 + x ∣

Find positive and negative intervals

x < - 6, - 6 \leq x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = - \frac{9}{2}

x = - \frac{9}{2}

- 7 ∣ z ∣ = 0

∣ 7 x - 19 ∣ = - 9

∣ z - 2 ∣ + ∣ z + 2 ∣ = 4

∣ 2 x + 6 ∣ = 106

∣ x + 8 ∣ = 24