What is the answer to |7x-3|=25 ?

The answer to |7x-3|=25 is x=-22/7 \lor x=4

Solve for x: |7x-3|=25

The solution is x=-22/7 \lor x=4

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∣ 7 x - 3 ∣ = 25

x = - \frac{22}{7} or x = 4

Decimal Notation

x = - 3.14285 \dots, x = 4

Solution steps

∣ 7 x - 3 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 3 = - 25 or 7 x - 3 = 25

7 x - 3 = - 25 or 7 x - 3 = 25

x = - \frac{22}{7} or x = 4

- 3 = ∣ x + 2 ∣ - 4

- 3 = ∣ x + 2 ∣ + 5

∣ m ∣ = 3

∣ w - 1 ∣ = 7

∣ 2 x - 3 ∣ + 3 = 3