What is the answer to |x|= 1/2 x+7 ?

The answer to |x|= 1/2 x+7 is x=-14/3 \lor x=14

Solve for x: |x|= 1/2 x+7

The solution is x=-14/3 \lor x=14

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∣ x ∣ = \frac{1}{2} x + 7

x = - \frac{14}{3} or x = 14

Decimal

x = - 4.66666 \dots, x = 14

Solution steps

∣ x ∣ = \frac{1}{2} x + 7

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{14}{3} or x = 14

∣ x ∣ = \frac{1}{2} x + 2

- 8 - 4 \cdot ∣ 4 - 5 x ∣ = - 5

∣ 4 - 5 x ∣ = 7

∣ x ∣ + x^{2} - 1 - x^{2} = 0

∣ x + 5 ∣ = - \frac{7}{10}

What is the answer to |x|= 1/2 x+7 ?
The answer to |x|= 1/2 x+7 is x=-14/3 \lor x=14
Solve for x: |x|= 1/2 x+7
The solution is x=-14/3 \lor x=14