What is the answer to |9x+7|=8 ?

The answer to |9x+7|=8 is x=-5/3 \lor x= 1/9

Solve for x: |9x+7|=8

The solution is x=-5/3 \lor x= 1/9

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∣ 9 x + 7 ∣ = 8

x = - \frac{5}{3} or x = \frac{1}{9}

Decimal Notation

x = - 1.66666 \dots, x = 0.11111 \dots

Solution steps

∣ 9 x + 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 7 = - 8 or 9 x + 7 = 8

9 x + 7 = - 8 or 9 x + 7 = 8

x = - \frac{5}{3} or x = \frac{1}{9}

7 - 3 ∣ x + 6 ∣ = 7

∣ 2 x + 4 ∣ + 9 = 15

4 ∣ 3 - 2 x ∣ - 1 = 47

3 ∣ y - 2 ∣ - 12 = 0

∣ 3 x + 2 ∣ = 6