What is the answer to |8x+6|=62 ?

The answer to |8x+6|=62 is x=-17/2 \lor x=7

Solve for x: |8x+6|=62

The solution is x=-17/2 \lor x=7

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∣ 8 x + 6 ∣ = 62

x = - \frac{17}{2} or x = 7

Decimal

x = - 8.5, x = 7

Solution steps

∣ 8 x + 6 ∣ = 62

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 6 = - 62 or 8 x + 6 = 62

8 x + 6 = - 62 or 8 x + 6 = 62

x = - \frac{17}{2} or x = 7

∣ 7 x - 4 ∣ - 2 = 0

∣ z - 4 ∣ = ∣ z + 9 ∣

4 ∣ 2 y - 3 ∣ - 1 = 11

4 ∣ x - 1 ∣ = 16 x - 32

11 ∣ 4 x ∣ x + 2 ∣ + 3 ∣ = 16