What is the answer to 5x-|x-3|x=-5 ?

The answer to 5x-|x-3|x=-5 is x=4+sqrt(21)

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5x-|x-3|x=-5

5 x - ∣ x - 3 ∣ x = - 5

x = 4 + 21

Decimal

x = 8.58257 \dots

Solution steps

5 x - ∣ x - 3 ∣ x = - 5

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 4 + 21

x = 4 + 21

1 - 2 x^{2} = 4

\frac{1}{2} ∣ x - 110 ∣ = 6

∣ x - 7 ∣ = ∣ 2 x - 2 ∣

∣ - 7 d - 8 ∣ = 71

y, ∣ x - 180 ∣ = 1.8 y + 90