What is the answer to |5+8x|=53 ?

The answer to |5+8x|=53 is x=-29/4 \lor x=6

Solve for x: |5+8x|=53

The solution is x=-29/4 \lor x=6

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∣ 5 + 8 x ∣ = 53

x = - \frac{29}{4} or x = 6

Decimal Notation

x = - 7.25, x = 6

Solution steps

∣ 5 + 8 x ∣ = 53

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 + 8 x = - 53 or 5 + 8 x = 53

5 + 8 x = - 53 or 5 + 8 x = 53

x = - \frac{29}{4} or x = 6

∣ x ∣ = - 18

x^{2} - 4 ∣ x - 1 ∣ + 5 x + 3 = 0

2 ∣ x - 1 ∣ = 14

2 ∣ x + 5 ∣ - 10 = 0

∣ u ∣ = 4