What is the answer to |x-3|=|3x+8| ?

The answer to |x-3|=|3x+8| is x=-11/2 \lor x=-5/4

Solve for x: |x-3|=|3x+8|

The solution is x=-11/2 \lor x=-5/4

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∣ x - 3 ∣ = ∣ 3 x + 8 ∣

x = - \frac{11}{2} or x = - \frac{5}{4}

Decimal Notation

x = - 5.5, x = - 1.25

Solution steps

∣ x - 3 ∣ = ∣ 3 x + 8 ∣

Find positive and negative intervals

x < - \frac{8}{3}, - \frac{8}{3} \leq x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{11}{2} or x = - \frac{5}{4} or No Solution

x = - \frac{11}{2} or x = - \frac{5}{4}

4 x - 5 = 16 + 11 x

x^{2} < 6 x - 8

(y^{\frac{3}{4}})^{\frac{7}{8}}

\frac{1}{2} x - \frac{1}{4} = \frac{1}{2}

8 x^{2} - 2 x - 15 = 0

What is the answer to |x-3|=|3x+8| ?
The answer to |x-3|=|3x+8| is x=-11/2 \lor x=-5/4
Solve for x: |x-3|=|3x+8|
The solution is x=-11/2 \lor x=-5/4