What is the answer to |8x+5|=6 ?

The answer to |8x+5|=6 is x=-11/8 \lor x= 1/8

Solve for x: |8x+5|=6

The solution is x=-11/8 \lor x= 1/8

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∣ 8 x + 5 ∣ = 6

x = - \frac{11}{8} or x = \frac{1}{8}

Solution steps

∣ 8 x + 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 5 = - 6 or 8 x + 5 = 6

8 x + 5 = - 6 or 8 x + 5 = 6

x = - \frac{11}{8} or x = \frac{1}{8}

1 - x^{2} = 0

∣ 4 x ∣ = 8 x

- ∣ x - 7 ∣ + 3 = 2 x

2 = - 2 + ∣ - 4 + 8 x ∣

2 ∣ 5 r - 8 ∣ + 3 = 3