What is the answer to 7|2x-1|=5 ?

The answer to 7|2x-1|=5 is x= 1/7 \lor x= 6/7

Solve for x: 7|2x-1|=5

The solution is x= 1/7 \lor x= 6/7

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7 ∣ 2 x - 1 ∣ = 5

x = \frac{1}{7} or x = \frac{6}{7}

Decimal Notation

x = 0.14285 \dots, x = 0.85714 \dots

Solution steps

7 ∣ 2 x - 1 ∣ = 5

Divide both sides by

7

∣ 2 x - 1 ∣ = \frac{5}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - \frac{5}{7} or 2 x - 1 = \frac{5}{7}

2 x - 1 = - \frac{5}{7} or 2 x - 1 = \frac{5}{7}

x = \frac{1}{7} or x = \frac{6}{7}

8 = ∣ 4 y ∣ - 8

∣ 6 x - 8 ∣ = 2 x

41 ∣ 4 x + 7 ∣ = 8 x + 16

- 7 \cdot ∣ z + 6 ∣ = - 189

∣ x - 2 ∣ = 23