What is the answer to |7x+8|=1 ?

The answer to |7x+8|=1 is x=-9/7 \lor x=-1

Solve for x: |7x+8|=1

The solution is x=-9/7 \lor x=-1

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∣ 7 x + 8 ∣ = 1

x = - \frac{9}{7} or x = - 1

Decimal Notation

x = - 1.28571 \dots, x = - 1

Solution steps

∣ 7 x + 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 8 = - 1 or 7 x + 8 = 1

7 x + 8 = - 1 or 7 x + 8 = 1

x = - \frac{9}{7} or x = - 1

∣ x + 3 ∣ - 3 = 2

q^{1} = 1

x^{2} - 3 x + 1 = 1

∣ 9 q - 5 ∣ = 2 q

∣ - 3 y + 6 ∣ + 5 = 4