What is the answer to |7x+8|=6 ?

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

Solve for x: |7x+8|=6

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

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∣ 7 x + 8 ∣ = 6

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

Decimal Notation

x = - 2, x = - 0.28571 \dots

Solution steps

∣ 7 x + 8 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 8 = - 6 or 7 x + 8 = 6

7 x + 8 = - 6 or 7 x + 8 = 6

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

3 ∣ p - 4 ∣ = 3

2 ∣ 5 - w ∣ - 9 = 1

3 ∣ 5 x + 3 ∣ + 7 = 13

∣ r ∣ - 7 = - 7

9 - 5 ∣ - x - 3 ∣ = - 16