What is the answer to |5x-1|=|x+12| ?

The answer to |5x-1|=|x+12| is x=-11/6 \lor x= 13/4

Solve for x: |5x-1|=|x+12|

The solution is x=-11/6 \lor x= 13/4

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∣ 5 x - 1 ∣ = ∣ x + 12 ∣

x = - \frac{11}{6} or x = \frac{13}{4}

Decimal

x = - 1.83333 \dots, x = 3.25

Solution steps

∣ 5 x - 1 ∣ = ∣ x + 12 ∣

Find positive and negative intervals

x < - 12, - 12 \leq x < \frac{1}{5}, x \geq \frac{1}{5}

Solve the inequality for each interval

No Solution or x = - \frac{11}{6} or x = \frac{13}{4}

x = - \frac{11}{6} or x = \frac{13}{4}

∣ x - 3 ∣ = 28

∣ 2 x - 10 ∣ = ∣ 7 x + 19 ∣

∣ 3 x - 4 ∣ = ∣ 5 x + 2 ∣

∣ 2 n + 5 ∣ = 11

∣ 8 - x ∣ = ∣ 4 - 3 x ∣

What is the answer to |5x-1|=|x+12| ?
The answer to |5x-1|=|x+12| is x=-11/6 \lor x= 13/4
Solve for x: |5x-1|=|x+12|
The solution is x=-11/6 \lor x= 13/4