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

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

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|x+3|=|x-6|

∣ x + 3 ∣ = ∣ x - 6 ∣

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ x + 3 ∣ = ∣ x - 6 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{3}{2}

x = \frac{3}{2}

\frac{4 x - 3}{5} - \frac{4 x}{3} = \frac{2 ( x - 13 )}{15}

(\frac{1}{9})^{- \frac{1}{2}}

x^{2} + 8 x + 7 \leq 0

8 - n^{3}

3 x - 3 x y