What is the answer to 12|9x+7|+1=18 ?

The answer to 12|9x+7|+1=18 is x=-101/108 \lor x=-67/108

Solve for x: 12|9x+7|+1=18

The solution is x=-101/108 \lor x=-67/108

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12 ∣ 9 x + 7 ∣ + 1 = 18

x = - \frac{101}{108} or x = - \frac{67}{108}

Decimal Notation

x = - 0.93518 \dots, x = - 0.62037 \dots

Solution steps

12 ∣ 9 x + 7 ∣ + 1 = 18

Move

1

to the right side

12 ∣ 9 x + 7 ∣ = 17

Divide both sides by

12

∣ 9 x + 7 ∣ = \frac{17}{12}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 7 = - \frac{17}{12} or 9 x + 7 = \frac{17}{12}

9 x + 7 = - \frac{17}{12} or 9 x + 7 = \frac{17}{12}

x = - \frac{101}{108} or x = - \frac{67}{108}

∣ 4 x - 3 ∣ = - 9

∣ x - 7 ∣ = 7 - x

∣ x + 20 ∣ = 340

5 ∣ 2 x + 3 ∣ - 2 = x + 5

∣ x - 3 ∣ - 5 = 4

What is the answer to 12|9x+7|+1=18 ?
The answer to 12|9x+7|+1=18 is x=-101/108 \lor x=-67/108
Solve for x: 12|9x+7|+1=18
The solution is x=-101/108 \lor x=-67/108