What is the answer to |x+4|=|x-1| ?

The answer to |x+4|=|x-1| is x=-3/2

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|x+4|=|x-1|

∣ x + 4 ∣ = ∣ x - 1 ∣

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x + 4 ∣ = ∣ x - 1 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 1, x \geq 1

Solve the inequality for each interval

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

x = - \frac{3}{2}

4 x + 12 = x + 20

x^{2} + (x + 7)^{2} = (x + 8)^{2}

\frac{20 - 40 ( 5 )}{5 ^{2}} + \frac{1}{2}

\frac{- 9 r ^{2} s ^{6} t ^{4}}{54 r ^{5} s ^{2} t ^{8}}

5 = 10 n