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

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

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

The solution is x=-4/3 \lor x=4

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∣ x ∣ = \frac{1}{2} x + 2

x = - \frac{4}{3} or x = 4

Decimal

x = - 1.33333 \dots, x = 4

Solution steps

∣ x ∣ = \frac{1}{2} x + 2

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{4}{3} or x = 4

- 8 - 4 \cdot ∣ 4 - 5 x ∣ = - 5

∣ 4 - 5 x ∣ = 7

∣ x ∣ + x^{2} - 1 - x^{2} = 0

∣ x + 5 ∣ = - \frac{7}{10}

∣ v ∣ + 13 = 20

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