What is the answer to |x|=x+7 ?

The answer to |x|=x+7 is x=-7/2

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|x|=x+7

∣ x ∣ = x + 7

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

∣ x ∣ = x + 7

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{7}{2} or No Solution

x = - \frac{7}{2}

1 - \frac{x}{2} = - 1

3 ∣ x ∣ = 24

∣ - 2 - 4 n ∣ = 34

∣ 2 x - 1 ∣ + 4 = 8

x + ∣ 1 + 2 x ∣ = - 2