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

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

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

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

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∣ 5 + 8 a ∣ = 53

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

Solution steps

∣ 5 + 8 a ∣ = 53

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 + 8 a = - 53 or 5 + 8 a = 53

5 + 8 a = - 53 or 5 + 8 a = 53

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

∣ 2 x - 1 ∣ = 3 x - 4

- 2 ∣ x - 4 ∣ + 7 = - 3

x^{2} - 3 x - 2 = ∣ x - 1 ∣

∣ x - 3 ∣ = 5 x + 9

7 ∣ x - 4 ∣ = 4