What is the answer to |7x-12|=23 ?

The answer to |7x-12|=23 is x=-11/7 \lor x=5

Solve for x: |7x-12|=23

The solution is x=-11/7 \lor x=5

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∣ 7 x - 12 ∣ = 23

x = - \frac{11}{7} or x = 5

Decimal Notation

x = - 1.57142 \dots, x = 5

Solution steps

∣ 7 x - 12 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 12 = - 23 or 7 x - 12 = 23

7 x - 12 = - 23 or 7 x - 12 = 23

x = - \frac{11}{7} or x = 5

0 = ∣ 4 - x ∣

∣ - 2 a + 1 ∣ = 3

- 10 ∣ 2 v + 7 ∣ = 10

- 4 ∣ 3 x - 2 ∣ = 2

- 4 ∣ x + 3 ∣ = - 12