What is the answer to |x+4|=|x-3| ?

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

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|x+4|=|x-3|

∣ x + 4 ∣ = ∣ x - 3 ∣

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x + 4 ∣ = ∣ x - 3 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = - \frac{1}{2}

x = - \frac{1}{2}

x^{2} + (- 2 - x)^{2} = 4

5 x + x^{2} > 100

\frac{3}{4} - 2

∣ x ∣ + 3 < 5

lo g_{15} (1575) - lo g_{15} (7)