What is the answer to | x/3-1|= x/6+2 ?

The answer to | x/3-1|= x/6+2 is x=-2\lor x=18

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| x/3-1|= x/6+2

\frac{x}{3} - 1 = \frac{x}{6} + 2

x = - 2 or x = 18

Solution steps

\frac{x}{3} - 1 = \frac{x}{6} + 2

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 2 or x = 18

∣ x - 1 ∣ + ∣ 2 x - 3 ∣ = 5

(x - 4)^{2} - 2 ∣ x - 4 ∣ - 15 = 0

4 ∣ x - 5 ∣ = - 24

5 ∣ x - 2 ∣ = 3 ∣ x - 2 ∣ - 7

∣ x + 3 ∣ = 4 x + 1

What is the answer to | x/3-1|= x/6+2 ?
The answer to | x/3-1|= x/6+2 is x=-2\lor x=18
Solve for x: | x/3-1|= x/6+2
The solution is x=-2\lor x=18