What is the answer to |x+4|=|x-7| ?

The answer to |x+4|=|x-7| is x= 3/2

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|x+4|=|x-7|

∣ x + 4 ∣ = ∣ x - 7 ∣

x = \frac{3}{2}

Solution steps

∣ x + 4 ∣ = ∣ x - 7 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 7, x \geq 7

Solve the inequality for each interval

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

x = \frac{3}{2}

(3 y)^{2}

\frac{128 x ^{3} z ^{3}}{46 x y ^{2} z}

620 + 45

\frac{a ^{2} + ab + a}{b ^{2} + ab + b}

\frac{x - 7}{4} = 1 - \frac{x}{7}