What is the answer to |7-3x|=2 ?

The answer to |7-3x|=2 is x= 5/3 \lor x=3

Solve for x: |7-3x|=2

The solution is x= 5/3 \lor x=3

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∣ 7 - 3 x ∣ = 2

x = \frac{5}{3} or x = 3

Decimal Notation

x = 1.66666 \dots, x = 3

Solution steps

∣ 7 - 3 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 3 x = - 2 or 7 - 3 x = 2

7 - 3 x = - 2 or 7 - 3 x = 2

x = \frac{5}{3} or x = 3

∣ x + 8 ∣ - 1 = 2

5 x^{2} - 29 x - 6 = 0

- 5 ∣ z ∣ = 10

3 ∣ x ∣ + 7 = 13

∣ 10 x - 3 ∣ - 2 = 7