What is the answer to |8x+2|=10 ?

The answer to |8x+2|=10 is x=-3/2 \lor x=1

Solve for x: |8x+2|=10

The solution is x=-3/2 \lor x=1

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∣ 8 x + 2 ∣ = 10

x = - \frac{3}{2} or x = 1

Decimal Notation

x = - 1.5, x = 1

Solution steps

∣ 8 x + 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 2 = - 10 or 8 x + 2 = 10

8 x + 2 = - 10 or 8 x + 2 = 10

x = - \frac{3}{2} or x = 1

- ∣ 4 + x ∣ = 10

∣ - 9 + 7 x ∣ = 3

∣ 7 z - 6 ∣ = 0

5 - \frac{1}{3} x = 0

3 ∣ 8 s - 400 ∣ - 1 = - 1