What is the answer to |7x-2|=4 ?

The answer to |7x-2|=4 is x=-2/7 \lor x= 6/7

Solve for x: |7x-2|=4

The solution is x=-2/7 \lor x= 6/7

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∣ 7 x - 2 ∣ = 4

x = - \frac{2}{7} or x = \frac{6}{7}

Decimal Notation

x = - 0.28571 \dots, x = 0.85714 \dots

Solution steps

∣ 7 x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 2 = - 4 or 7 x - 2 = 4

7 x - 2 = - 4 or 7 x - 2 = 4

x = - \frac{2}{7} or x = \frac{6}{7}

5 ∣ x + 7 ∣ - 2 = 18

x^{2} + 3 ∣ x ∣ + 4 = 0

∣ x_{0} - 5 ∣ - 3 = 4

x^{2} - 12 x + 31 = 4

x, f = ∣ x ∣ + 4