What is the answer to |8x+6|=3 ?

The answer to |8x+6|=3 is x=-9/8 \lor x=-3/8

Solve for x: |8x+6|=3

The solution is x=-9/8 \lor x=-3/8

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∣ 8 x + 6 ∣ = 3

x = - \frac{9}{8} or x = - \frac{3}{8}

Decimal Notation

x = - 1.125, x = - 0.375

Solution steps

∣ 8 x + 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 6 = - 3 or 8 x + 6 = 3

8 x + 6 = - 3 or 8 x + 6 = 3

x = - \frac{9}{8} or x = - \frac{3}{8}

∣ - 4 y + 4 ∣ + 8 = 4

- 4 ∣ 3 x - 7 ∣ - 7 = - 39

∣ 7 x - 3 ∣ = 10

∣ 5 x + 3 ∣ + 12 = 4

∣ 6 x - 3 ∣ + 3 = 3