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

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

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|x+6|=|x-3|

∣ x + 6 ∣ = ∣ x - 3 ∣

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x + 6 ∣ = ∣ x - 3 ∣

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{3}{2}

x = - \frac{3}{2}

x + 4 (x - 1) = 9 - 2 (x + 3)

e^{\frac{π}{2} i}

lo g_{10} (\frac{1}{100})

x^{2} > 25

3 r^{2} + 40 r + 100