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

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

Solve for x: |x-2|= x/2+1

The solution is x= 2/3 \lor x=6

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∣ x - 2 ∣ = \frac{x}{2} + 1

x = \frac{2}{3} or x = 6

Decimal Notation

x = 0.66666 \dots, x = 6

Solution steps

∣ x - 2 ∣ = \frac{x}{2} + 1

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{2}{3} or x = 6

\frac{6 x - 3}{4} = 5

6 - 3 ∣ 2 r + 1 ∣ = - 39

3 ∣ q ∣ = 0

∣ 6 v ∣ - 5 = - 5

∣ x + 5 ∣ - 10 = 3

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