What is the answer to |4x-3|=|x+14| ?

The answer to |4x-3|=|x+14| is x=-11/5 \lor x= 17/3

Solve for x: |4x-3|=|x+14|

The solution is x=-11/5 \lor x= 17/3

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∣ 4 x - 3 ∣ = ∣ x + 14 ∣

x = - \frac{11}{5} or x = \frac{17}{3}

Decimal Notation

x = - 2.2, x = 5.66666 \dots

Solution steps

∣ 4 x - 3 ∣ = ∣ x + 14 ∣

Find positive and negative intervals

x < - 14, - 14 \leq x < \frac{3}{4}, x \geq \frac{3}{4}

Solve the inequality for each interval

No Solution or x = - \frac{11}{5} or x = \frac{17}{3}

x = - \frac{11}{5} or x = \frac{17}{3}

25 x + 11 = - 6 x^{2}

50 < 5 x - 5 (\frac{x - 10}{2}) \leq 100

16 n^{8} - 24 n^{4} p - 7 p^{2}

a^{2} - 10 a + 5 = - 4

What is the answer to |4x-3|=|x+14| ?
The answer to |4x-3|=|x+14| is x=-11/5 \lor x= 17/3
Solve for x: |4x-3|=|x+14|
The solution is x=-11/5 \lor x= 17/3