What is the answer to |x-4|=|3x+5| ?

The answer to |x-4|=|3x+5| is x=-9/2 \lor x=-1/4

Solve for x: |x-4|=|3x+5|

The solution is x=-9/2 \lor x=-1/4

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∣ x - 4 ∣ = ∣ 3 x + 5 ∣

x = - \frac{9}{2} or x = - \frac{1}{4}

Decimal Notation

x = - 4.5, x = - 0.25

Solution steps

∣ x - 4 ∣ = ∣ 3 x + 5 ∣

Find positive and negative intervals

x < - \frac{5}{3}, - \frac{5}{3} \leq x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{9}{2} or x = - \frac{1}{4} or No Solution

x = - \frac{9}{2} or x = - \frac{1}{4}

75 b^{2} = 3

3 y^{2} + 7 y + 3 = - y^{2}

- \frac{1}{2} \cdot 2 + 2

6 p + 5 \leq - 2 p - 5

- 3 \leq a \leq 3

What is the answer to |x-4|=|3x+5| ?
The answer to |x-4|=|3x+5| is x=-9/2 \lor x=-1/4
Solve for x: |x-4|=|3x+5|
The solution is x=-9/2 \lor x=-1/4